107628320 has 48 divisors (see below), whose sum is σ = 254923200. Its totient is φ = 42941184.

The previous prime is 107628307. The next prime is 107628329. The reversal of 107628320 is 23826701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (107628329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 95279 + ... + 96401.

It is an arithmetic number, because the mean of its divisors is an integer number (5310900).

Almost surely, 2^107628320 is an apocalyptic number.

107628320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107628320 is the 5990-th octagonal number.

It is an amenable number.

107628320 is an abundant number, since it is smaller than the sum of its proper divisors (147294880).

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

107628320 is a wasteful number, since it uses less digits than its factorization.

107628320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 107628320 is about 10374.4069710032. The cubic root of 107628320 is about 475.6733865620.

The spelling of 107628320 in words is "one hundred seven million, six hundred twenty-eight thousand, three hundred twenty".