107180304 has 160 divisors (see below), whose sum is σ = 353120256. Its totient is φ = 27202560.

The previous prime is 107180221. The next prime is 107180321. The reversal of 107180304 is 403081701.

It is a super-2 number, since 2×107180304² = 22975235131064832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173404 + ... + 174020.

Almost surely, 2^107180304 is an apocalyptic number.

107180304 is a gapful number since it is divisible by the number (14) 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 107180304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176560128).

107180304 is an abundant number, since it is smaller than the sum of its proper divisors (245939952).

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

107180304 is a wasteful number, since it uses less digits than its factorization.

107180304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 107180304 is about 10352.7920871618. The cubic root of 107180304 is about 475.0124524898.

The spelling of 107180304 in words is "one hundred seven million, one hundred eighty thousand, three hundred four".