105137859313872 has 120 divisors (see below), whose sum is σ = 366844652016960. Its totient is φ = 27308534883840.

The previous prime is 105137859313859. The next prime is 105137859313913. The reversal of 105137859313872 is 278313958731501.

It is a happy number.

105137859313872 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 7 + 8 + 593 + 1 + 38 + 7 + 2 = 666.

It is a super-2 number, since 2×105137859313872² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4741053997 + ... + 4741076172.

It is an arithmetic number, because the mean of its divisors is an integer number (3057038766808).

Almost surely, 2^{105137859313872} is an apocalyptic number.

105137859313872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105137859313872 is an abundant number, since it is smaller than the sum of its proper divisors (261706792703088).

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

105137859313872 is a wasteful number, since it uses less digits than its factorization.

105137859313872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9482130201 (or 9482130192 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 105137859313872 in words is "one hundred five trillion, one hundred thirty-seven billion, eight hundred fifty-nine million, three hundred thirteen thousand, eight hundred seventy-two".