107917920 has 240 divisors, whose sum is σ = 416032848. Its totient is φ = 26127360.

The previous prime is 107917907. The next prime is 107917939. The reversal of 107917920 is 29719701.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142182 + ... + 142938.

Almost surely, 2^107917920 is an apocalyptic number.

107917920 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 107917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208016424).

107917920 is an abundant number, since it is smaller than the sum of its proper divisors (308114928).

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

107917920 is a wasteful number, since it uses less digits than its factorization.

107917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 107917920 is about 10388.3550189623. The cubic root of 107917920 is about 476.0996425348.

The spelling of 107917920 in words is "one hundred seven million, nine hundred seventeen thousand, nine hundred twenty".