107237680 has 80 divisors (see below), whose sum is σ = 280839168. Its totient is φ = 37728000.

The previous prime is 107237651. The next prime is 107237687. The reversal of 107237680 is 86732701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107237680² = 22999840023564800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107237687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25315 + ... + 29245.

Almost surely, 2^107237680 is an apocalyptic number.

107237680 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 107237680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140419584).

107237680 is an abundant number, since it is smaller than the sum of its proper divisors (173601488).

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

107237680 is a wasteful number, since it uses less digits than its factorization.

107237680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 107237680 is about 10355.5627563160. The cubic root of 107237680 is about 475.0971989455.

The spelling of 107237680 in words is "one hundred seven million, two hundred thirty-seven thousand, six hundred eighty".