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106837057650 = 235267101105253
BaseRepresentation
bin110001101111111111…
…1000010000001110010
3101012202122202212011010
41203133333002001302
53222300241321100
6121025200531350
710501344002121
oct1433777020162
9335678685133
10106837057650
1141344808774
1218857620b56
13a0c813489b
1452570c3ab8
152ba45b9750
hex18dffc2072

106837057650 has 96 divisors (see below), whose sum is σ = 271575528768. Its totient is φ = 27786528000.

The previous prime is 106837057577. The next prime is 106837057681. The reversal of 106837057650 is 56750738601.

It is a super-2 number, since 2×1068370576502 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106837057650.

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, 962424 + ... + 1067676.

It is an arithmetic number, because the mean of its divisors is an integer number (2828911758).

Almost surely, 2106837057650 is an apocalyptic number.

106837057650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106837057650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135787764384).

106837057650 is an abundant number, since it is smaller than the sum of its proper divisors (164738471118).

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

106837057650 is a wasteful number, since it uses less digits than its factorization.

106837057650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105436 (or 105431 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 106837057650 in words is "one hundred six billion, eight hundred thirty-seven million, fifty-seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 101 134 150 201 202 303 335 402 505 606 670 1005 1010 1515 1675 2010 2525 3030 3350 5025 5050 6767 7575 10050 13534 15150 20301 33835 40602 67670 101505 105253 169175 203010 210506 315759 338350 507525 526265 631518 1015050 1052530 1578795 2631325 3157590 5262650 7051951 7893975 10630553 14103902 15787950 21155853 21261106 31891659 35259755 42311706 53152765 63783318 70519510 105779265 106305530 159458295 176298775 211558530 265763825 318916590 352597550 528896325 531527650 712247051 797291475 1057792650 1424494102 1594582950 2136741153 3561235255 4273482306 7122470510 10683705765 17806176275 21367411530 35612352550 53418528825 106837057650