100465863120 has 120 divisors (see below), whose sum is σ = 385597570176. Its totient is φ = 22963624704.

The previous prime is 100465863097. The next prime is 100465863139. The reversal of 100465863120 is 21368564001.

It is a happy number.

100465863120 is a `hidden beast` number, since 1 + 0 + 0 + 46 + 586 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×100465863120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 9961812 + ... + 9971891.

Almost surely, 2^100465863120 is an apocalyptic number.

100465863120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100465863120 is an abundant number, since it is smaller than the sum of its proper divisors (285131707056).

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

100465863120 is a wasteful number, since it uses less digits than its factorization.

100465863120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19933729 (or 19933720 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 100465863120 in words is "one hundred billion, four hundred sixty-five million, eight hundred sixty-three thousand, one hundred twenty".