100105500505100 has 36 divisors (see below), whose sum is σ = 228662038000200. Its totient is φ = 37934715980160.

The previous prime is 100105500505099. The next prime is 100105500505139. The reversal of 100105500505100 is 1505005501001.

It is a happy number.

It is a super-2 number, since 2×100105500505100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26343550865 + ... + 26343554664.

Almost surely, 2^{100105500505100} is an apocalyptic number.

100105500505100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105500505100 is an abundant number, since it is smaller than the sum of its proper divisors (128556537495100).

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

100105500505100 is a wasteful number, since it uses less digits than its factorization.

100105500505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52687105562 (or 52687105555 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 100105500505100 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred five thousand, one hundred".