105517281138912 has 72 divisors (see below), whose sum is σ = 300197015478360. Its totient is φ = 35156925538560.

The previous prime is 105517281138901. The next prime is 105517281138977. The reversal of 105517281138912 is 219831182715501.

105517281138912 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 172 + 81 + 1 + 389 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105517281138912² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80082414 + ... + 81389357.

It is an arithmetic number, because the mean of its divisors is an integer number (4169402992755).

Almost surely, 2^{105517281138912} is an apocalyptic number.

105517281138912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105517281138912 is an abundant number, since it is smaller than the sum of its proper divisors (194679734339448).

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

105517281138912 is a wasteful number, since it uses less digits than its factorization.

105517281138912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161474056 (or 161474045 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 54.

The spelling of 105517281138912 in words is "one hundred five trillion, five hundred seventeen billion, two hundred eighty-one million, one hundred thirty-eight thousand, nine hundred twelve".