107657440 has 48 divisors (see below), whose sum is σ = 277467120. Its totient is φ = 39147520.

The previous prime is 107657437. The next prime is 107657443. The reversal of 107657440 is 44756701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107657437) and next prime (107657443).

It is a junction number, because it is equal to n+sod(n) for n = 107657396 and 107657405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107657443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28825 + ... + 32344.

It is an arithmetic number, because the mean of its divisors is an integer number (5780565).

Almost surely, 2^107657440 is an apocalyptic number.

107657440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107657440 is an abundant number, since it is smaller than the sum of its proper divisors (169809680).

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

107657440 is a wasteful number, since it uses less digits than its factorization.

107657440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61195 (or 61187 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 107657440 is about 10375.8103298008. The cubic root of 107657440 is about 475.7162822112.

The spelling of 107657440 in words is "one hundred seven million, six hundred fifty-seven thousand, four hundred forty".