100105056060100 has 72 divisors (see below), whose sum is σ = 267357503594048. Its totient is φ = 31681600156800.

The previous prime is 100105056060029. The next prime is 100105056060101. The reversal of 100105056060100 is 1060650501001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (100105056060101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5500268706 + ... + 5500286905.

Almost surely, 2^{100105056060100} is an apocalyptic number.

100105056060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105056060100 is an abundant number, since it is smaller than the sum of its proper divisors (167252447533948).

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

100105056060100 is a wasteful number, since it uses less digits than its factorization.

100105056060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11000555645 (or 11000555638 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 100105056060100 in words is "one hundred trillion, one hundred five billion, fifty-six million, sixty thousand, one hundred".