100105500500600 has 48 divisors (see below), whose sum is σ = 265994615619600. Its totient is φ = 34321885885440.

The previous prime is 100105500500581. The next prime is 100105500500617. The reversal of 100105500500600 is 6005005501001.

It is a super-2 number, since 2×100105500500600² (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, 35751963065 + ... + 35751965864.

It is an arithmetic number, because the mean of its divisors is an integer number (5541554492075).

Almost surely, 2^{100105500500600} is an apocalyptic number.

100105500500600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105500500600 is an abundant number, since it is smaller than the sum of its proper divisors (165889115119000).

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

100105500500600 is a wasteful number, since it uses less digits than its factorization.

100105500500600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71503928952 (or 71503928943 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 100105500500600 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred thousand, six hundred".