107077520 has 80 divisors (see below), whose sum is σ = 273196800. Its totient is φ = 38707200.

The previous prime is 107077517. The next prime is 107077571. The reversal of 107077520 is 25770701.

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

It is a super-2 number, since 2×107077520² = 22931190578700800, 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 15 ways as a sum of consecutive naturals, for example, 238256 + ... + 238704.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 2^107077520 is an apocalyptic number.

107077520 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 107077520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

107077520 is an abundant number, since it is smaller than the sum of its proper divisors (166119280).

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

107077520 is a wasteful number, since it uses less digits than its factorization.

107077520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 29.

The square root of 107077520 is about 10347.8268249908. The cubic root of 107077520 is about 474.8605611023.

The spelling of 107077520 in words is "one hundred seven million, seventy-seven thousand, five hundred twenty".