100465820 has 48 divisors (see below), whose sum is σ = 259670208. Its totient is φ = 31795200.

The previous prime is 100465819. The next prime is 100465829. The reversal of 100465820 is 28564001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 100465820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100465829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25781 + ... + 29420.

It is an arithmetic number, because the mean of its divisors is an integer number (5409796).

Almost surely, 2^100465820 is an apocalyptic number.

100465820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100465820 is an abundant number, since it is smaller than the sum of its proper divisors (159204388).

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

100465820 is a wasteful number, since it uses less digits than its factorization.

100465820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55230 (or 55228 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 100465820 is about 10023.2639394560. The cubic root of 100465820 is about 464.8784821404.

The spelling of 100465820 in words is "one hundred million, four hundred sixty-five thousand, eight hundred twenty".