80900100 has 216 divisors, whose sum is σ = 277794720. Its totient is φ = 20191680.

The previous prime is 80900087. The next prime is 80900117. The reversal of 80900100 is 100908.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 974659 + ... + 974741.

Almost surely, 2^80900100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80900100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138897360).

80900100 is an abundant number, since it is smaller than the sum of its proper divisors (196894620).

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

80900100 is a wasteful number, since it uses less digits than its factorization.

80900100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 80900100 is about 8994.4482876939. The cubic root of 80900100 is about 432.4969204677.

The spelling of 80900100 in words is "eighty million, nine hundred thousand, one hundred".