107291320 has 64 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 40706688.

The previous prime is 107291311. The next prime is 107291351. The reversal of 107291320 is 23192701.

It is a super-2 number, since 2×107291320² = 23022854694684800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127461 + ... + 128299.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^107291320 is an apocalyptic number.

107291320 is a gapful number since it is divisible by the number (10) 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 107291320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

107291320 is an abundant number, since it is smaller than the sum of its proper divisors (146724680).

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

107291320 is a wasteful number, since it uses less digits than its factorization.

107291320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 107291320 is about 10358.1523448924. The cubic root of 107291320 is about 475.1763998566.

The spelling of 107291320 in words is "one hundred seven million, two hundred ninety-one thousand, three hundred twenty".