100553105106 has 32 divisors (see below), whose sum is σ = 223489082880. Its totient is φ = 33512041008.

The previous prime is 100553105089. The next prime is 100553105113. The reversal of 100553105106 is 601501355001.

100553105106 is a `hidden beast` number, since 1 + 0 + 0 + 553 + 1 + 0 + 5 + 106 = 666.

It is a super-2 number, since 2×100553105106² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100553105106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171775 + ... + 480221.

It is an arithmetic number, because the mean of its divisors is an integer number (6984033840).

Almost surely, 2^100553105106 is an apocalyptic number.

100553105106 is an abundant number, since it is smaller than the sum of its proper divisors (122935977774).

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

100553105106 is a wasteful number, since it uses less digits than its factorization.

100553105106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314495 (or 314489 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 100553105106 in words is "one hundred billion, five hundred fifty-three million, one hundred five thousand, one hundred six".