107032640 has 112 divisors (see below), whose sum is σ = 299557440. Its totient is φ = 35911680.

The previous prime is 107032637. The next prime is 107032669. The reversal of 107032640 is 46230701.

It is a super-2 number, since 2×107032640² = 22911972050739200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44591 + ... + 46929.

It is an arithmetic number, because the mean of its divisors is an integer number (2674620).

Almost surely, 2^107032640 is an apocalyptic number.

107032640 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 107032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

107032640 is an abundant number, since it is smaller than the sum of its proper divisors (192524800).

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

107032640 is a wasteful number, since it uses less digits than its factorization.

107032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 107032640 is about 10345.6580264380. The cubic root of 107032640 is about 474.7942081767.

The spelling of 107032640 in words is "one hundred seven million, thirty-two thousand, six hundred forty".