107257680 has 120 divisors (see below), whose sum is σ = 362119680. Its totient is φ = 28450560.

The previous prime is 107257673. The next prime is 107257697. The reversal of 107257680 is 86752701.

107257680 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 576 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223681 + ... + 224159.

It is an arithmetic number, because the mean of its divisors is an integer number (3017664).

Almost surely, 2^107257680 is an apocalyptic number.

107257680 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 107257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

107257680 is an abundant number, since it is smaller than the sum of its proper divisors (254862000).

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

107257680 is a wasteful number, since it uses less digits than its factorization.

107257680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 107257680 is about 10356.5283758603. The cubic root of 107257680 is about 475.1267325737.

The spelling of 107257680 in words is "one hundred seven million, two hundred fifty-seven thousand, six hundred eighty".