100105606100 has 36 divisors (see below), whose sum is σ = 224236564608. Its totient is φ = 38750556000.

The previous prime is 100105606067. The next prime is 100105606123. The reversal of 100105606100 is 1606501001.

It is a happy number.

It is a super-2 number, since 2×100105606100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 16142966 + ... + 16149165.

Almost surely, 2^100105606100 is an apocalyptic number.

100105606100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105606100 is an abundant number, since it is smaller than the sum of its proper divisors (124130958508).

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

100105606100 is a wasteful number, since it uses less digits than its factorization.

100105606100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32292176 (or 32292169 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 100105606100 in words is "one hundred billion, one hundred five million, six hundred six thousand, one hundred".