107557940 has 48 divisors (see below), whose sum is σ = 263424000. Its totient is φ = 36874656.

The previous prime is 107557909. The next prime is 107557973. The reversal of 107557940 is 49755701.

It is a junction number, because it is equal to n+sod(n) for n = 107557894 and 107557903.

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, 980 + ... + 14699.

It is an arithmetic number, because the mean of its divisors is an integer number (5488000).

Almost surely, 2^107557940 is an apocalyptic number.

107557940 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 107557940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131712000).

107557940 is an abundant number, since it is smaller than the sum of its proper divisors (155866060).

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

107557940 is a wasteful number, since it uses less digits than its factorization.

107557940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15709 (or 15693 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The square root of 107557940 is about 10371.0144151862. The cubic root of 107557940 is about 475.5696802982.

The spelling of 107557940 in words is "one hundred seven million, five hundred fifty-seven thousand, nine hundred forty".