107104640 has 64 divisors (see below), whose sum is σ = 263025360. Its totient is φ = 41674752.

The previous prime is 107104639. The next prime is 107104661. The reversal of 107104640 is 46401701.

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

It is a super-2 number, since 2×107104640² = 22942807819059200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21419 + ... + 25941.

Almost surely, 2^107104640 is an apocalyptic number.

107104640 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 107104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131512680).

107104640 is an abundant number, since it is smaller than the sum of its proper divisors (155920720).

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

107104640 is an equidigital number, since it uses as much as digits as its factorization.

107104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 107104640 is about 10349.1371621020. The cubic root of 107104640 is about 474.9006477341.

The spelling of 107104640 in words is "one hundred seven million, one hundred four thousand, six hundred forty".