107056720 has 80 divisors (see below), whose sum is σ = 263233152. Its totient is φ = 40409600.

The previous prime is 107056693. The next prime is 107056721. The reversal of 107056720 is 27650701.

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

It is a super-2 number, since 2×107056720² = 22922282594316800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107056721) 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 15 ways as a sum of consecutive naturals, for example, 152370 + ... + 153070.

Almost surely, 2^107056720 is an apocalyptic number.

107056720 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 107056720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616576).

107056720 is an abundant number, since it is smaller than the sum of its proper divisors (156176432).

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

107056720 is a wasteful number, since it uses less digits than its factorization.

107056720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 107056720 is about 10346.8217342332. The cubic root of 107056720 is about 474.8298116064.

The spelling of 107056720 in words is "one hundred seven million, fifty-six thousand, seven hundred twenty".