100105110056016 has 240 divisors, whose sum is σ = 333342338224896. Its totient is φ = 27729292529664.

The previous prime is 100105110055997. The next prime is 100105110056057. The reversal of 100105110056016 is 610650011501001.

100105110056016 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 51 + 1 + 0 + 0 + 5 + 601 + 6 = 666.

It is a congruent number.

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, 67650340 + ... + 69114243.

Almost surely, 2^{100105110056016} is an apocalyptic number.

100105110056016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100105110056016 is an abundant number, since it is smaller than the sum of its proper divisors (233237228168880).

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

100105110056016 is a wasteful number, since it uses less digits than its factorization.

100105110056016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136764650 (or 136764641 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 100105110056016 its reverse (610650011501001), we get a palindrome (710755121557017).

The spelling of 100105110056016 in words is "one hundred trillion, one hundred five billion, one hundred ten million, fifty-six thousand, sixteen".