107308920 has 64 divisors (see below), whose sum is σ = 323068320. Its totient is φ = 28514304.

The previous prime is 107308919. The next prime is 107308937. The reversal of 107308920 is 29803701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 36132 + ... + 38988.

Almost surely, 2^107308920 is an apocalyptic number.

107308920 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 107308920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161534160).

107308920 is an abundant number, since it is smaller than the sum of its proper divisors (215759400).

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

107308920 is a wasteful number, since it uses less digits than its factorization.

107308920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 107308920 is about 10359.0018824209. The cubic root of 107308920 is about 475.2023809809.

The spelling of 107308920 in words is "one hundred seven million, three hundred eight thousand, nine hundred twenty".