107624220 has 96 divisors (see below), whose sum is σ = 340139520. Its totient is φ = 25186560.

The previous prime is 107624213. The next prime is 107624239. The reversal of 107624220 is 22426701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16329 + ... + 21951.

It is an arithmetic number, because the mean of its divisors is an integer number (3543120).

Almost surely, 2^107624220 is an apocalyptic number.

107624220 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 107624220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170069760).

107624220 is an abundant number, since it is smaller than the sum of its proper divisors (232515300).

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

107624220 is a wasteful number, since it uses less digits than its factorization.

107624220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 107624220 is about 10374.2093674651. The cubic root of 107624220 is about 475.6673463747.

The spelling of 107624220 in words is "one hundred seven million, six hundred twenty-four thousand, two hundred twenty".