309080100 has 144 divisors (see below), whose sum is σ = 1041683328. Its totient is φ = 69288960.

The previous prime is 309080089. The next prime is 309080113. The reversal of 309080100 is 1080903.

309080100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109912 + ... + 112688.

It is an arithmetic number, because the mean of its divisors is an integer number (7233912).

Almost surely, 2^309080100 is an apocalyptic number.

309080100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520841664).

309080100 is an abundant number, since it is smaller than the sum of its proper divisors (732603228).

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

309080100 is a wasteful number, since it uses less digits than its factorization.

309080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 309080100 is about 17580.6740485113. The cubic root of 309080100 is about 676.1198420864.

The spelling of 309080100 in words is "three hundred nine million, eighty thousand, one hundred".