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106975359660 = 223513307944543
BaseRepresentation
bin110001110100000111…
…0100111001010101100
3101020010022000022211210
41203220032213022230
53223041143002120
6121051021114420
710504643361021
oct1435016471254
9336108008753
10106975359660
1141405890054
12188959b8a10
13a11a9990b0
14526b605548
152bb17d7ce0
hex18e83a72ac

106975359660 has 96 divisors (see below), whose sum is σ = 322683863040. Its totient is φ = 26323252992.

The previous prime is 106975359619. The next prime is 106975359661. The reversal of 106975359660 is 66953579601.

It is a happy number.

It is a super-2 number, since 2×1069753596602 (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 106975359660.

It is not an unprimeable number, because it can be changed into a prime (106975359661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2379349 + ... + 2423891.

It is an arithmetic number, because the mean of its divisors is an integer number (3361290240).

Almost surely, 2106975359660 is an apocalyptic number.

106975359660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106975359660 is an abundant number, since it is smaller than the sum of its proper divisors (215708503380).

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

106975359660 is a wasteful number, since it uses less digits than its factorization.

106975359660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47647 (or 47645 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 57.

The spelling of 106975359660 in words is "one hundred six billion, nine hundred seventy-five million, three hundred fifty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 3079 6158 9237 12316 15395 18474 30790 36948 40027 44543 46185 61580 80054 89086 92370 120081 133629 160108 178172 184740 200135 222715 240162 267258 400270 445430 480324 534516 579059 600405 668145 800540 890860 1158118 1200810 1336290 1737177 2316236 2401620 2672580 2895295 3474354 5790590 6948708 8685885 11581180 17371770 34743540 137147897 274295794 411443691 548591588 685739485 822887382 1371478970 1645774764 1782922661 2057218455 2742957940 3565845322 4114436910 5348767983 7131690644 8228873820 8914613305 10697535966 17829226610 21395071932 26743839915 35658453220 53487679830 106975359660