107257920 has 224 divisors, whose sum is σ = 424866816. Its totient is φ = 22272000.

The previous prime is 107257919. The next prime is 107257939. The reversal of 107257920 is 29752701.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×107257920² = 23008522805452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 73195 + ... + 74645.

Almost surely, 2^107257920 is an apocalyptic number.

107257920 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 107257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212433408).

107257920 is an abundant number, since it is smaller than the sum of its proper divisors (317608896).

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

107257920 is a wasteful number, since it uses less digits than its factorization.

107257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 107257920 is about 10356.5399627482. The cubic root of 107257920 is about 475.1270869550.

The spelling of 107257920 in words is "one hundred seven million, two hundred fifty-seven thousand, nine hundred twenty".