107056640 has 160 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 38707200.

The previous prime is 107056619. The next prime is 107056657. The reversal of 107056640 is 46650701.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×107056640² = 22922248336179200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

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, 1507805 + ... + 1507875.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^107056640 is an apocalyptic number.

107056640 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 107056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

107056640 is an abundant number, since it is smaller than the sum of its proper divisors (175782400).

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

107056640 is an equidigital number, since it uses as much as digits as its factorization.

107056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 107056640 is about 10346.8178683110. The cubic root of 107056640 is about 474.8296933314.

The spelling of 107056640 in words is "one hundred seven million, fifty-six thousand, six hundred forty".