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106237244300 = 225211414750119
BaseRepresentation
bin110001011110000111…
…0111011001110001100
3101011012212010011220212
41202330032323032030
53220033213304200
6120445452501552
710450441451135
oct1427416731614
9334185104825
10106237244300
1141067178060
121870a77a8b8
13a030aa2c45
1451db588c8c
152b6bad7035
hex18bc3bb38c

106237244300 has 144 divisors (see below), whose sum is σ = 263113159680. Its totient is φ = 36886848000.

The previous prime is 106237244297. The next prime is 106237244353. The reversal of 106237244300 is 3442732601.

It is a super-2 number, since 2×1062372443002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2094641 + ... + 2144759.

It is an arithmetic number, because the mean of its divisors is an integer number (1827174720).

Almost surely, 2106237244300 is an apocalyptic number.

106237244300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106237244300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131556579840).

106237244300 is an abundant number, since it is smaller than the sum of its proper divisors (156875915380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106237244300 is a wasteful number, since it uses less digits than its factorization.

106237244300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50232 (or 50225 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

Adding to 106237244300 its reverse (3442732601), we get a palindrome (109679976901).

The spelling of 106237244300 in words is "one hundred six billion, two hundred thirty-seven million, two hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 47 50 55 82 94 100 110 164 188 205 220 235 275 410 451 470 517 550 820 902 940 1025 1034 1100 1175 1804 1927 2050 2068 2255 2350 2585 3854 4100 4510 4700 5170 7708 9020 9635 10340 11275 12925 19270 21197 22550 25850 38540 42394 45100 48175 50119 51700 84788 96350 100238 105985 192700 200476 211970 250595 423940 501190 529925 551309 1002380 1059850 1102618 1252975 2054879 2119700 2205236 2355593 2505950 2756545 4109758 4711186 5011900 5513090 8219516 9422372 10274395 11026180 11777965 13782725 20548790 22603669 23555930 25911523 27565450 41097580 45207338 47111860 51371975 51823046 55130900 58889825 90414676 96579313 102743950 103646092 113018345 117779650 129557615 193158626 205487900 226036690 235559300 259115230 386317252 452073380 482896565 518230460 565091725 647788075 965793130 1062372443 1130183450 1295576150 1931586260 2124744886 2260366900 2414482825 2591152300 4249489772 4828965650 5311862215 9657931300 10623724430 21247448860 26559311075 53118622150 106237244300