100414402032 has 80 divisors (see below), whose sum is σ = 312064828160. Its totient is φ = 27179836416.

The previous prime is 100414402019. The next prime is 100414402093. The reversal of 100414402032 is 230204414001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7858153 + ... + 7870920.

It is an arithmetic number, because the mean of its divisors is an integer number (3900810352).

Almost surely, 2^100414402032 is an apocalyptic number.

100414402032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100414402032 is an abundant number, since it is smaller than the sum of its proper divisors (211650426128).

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

100414402032 is a wasteful number, since it uses less digits than its factorization.

100414402032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15729110 (or 15729104 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 100414402032 its reverse (230204414001), we get a palindrome (330618816033).

The spelling of 100414402032 in words is "one hundred billion, four hundred fourteen million, four hundred two thousand, thirty-two".