100506105055100 has 72 divisors (see below), whose sum is σ = 229614833137200. Its totient is φ = 38080264665600.

The previous prime is 100506105054991. The next prime is 100506105055129. The reversal of 100506105055100 is 1550501605001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7225370 + ... + 15912830.

Almost surely, 2^{100506105055100} is an apocalyptic number.

100506105055100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100506105055100 is an abundant number, since it is smaller than the sum of its proper divisors (129108728082100).

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

100506105055100 is a wasteful number, since it uses less digits than its factorization.

100506105055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8693583 (or 8693576 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 100506105055100 in words is "one hundred trillion, five hundred six billion, one hundred five million, fifty-five thousand, one hundred".