107232640 has 64 divisors (see below), whose sum is σ = 258435360. Its totient is φ = 42545152.

The previous prime is 107232581. The next prime is 107232641. The reversal of 107232640 is 46232701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×107232640² = 22997678162739200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107232641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87069 + ... + 88291.

Almost surely, 2^107232640 is an apocalyptic number.

107232640 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 107232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129217680).

107232640 is an abundant number, since it is smaller than the sum of its proper divisors (151202720).

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

107232640 is a wasteful number, since it uses less digits than its factorization.

107232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 107232640 is about 10355.3194059865. The cubic root of 107232640 is about 475.0897558919.

The spelling of 107232640 in words is "one hundred seven million, two hundred thirty-two thousand, six hundred forty".