107157840 has 80 divisors (see below), whose sum is σ = 335686848. Its totient is φ = 28274688.

The previous prime is 107157839. The next prime is 107157859. The reversal of 107157840 is 48751701.

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

It is a super-2 number, since 2×107157840² = 22965605346931200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 20979 + ... + 25581.

Almost surely, 2^107157840 is an apocalyptic number.

107157840 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 107157840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167843424).

107157840 is an abundant number, since it is smaller than the sum of its proper divisors (228529008).

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

107157840 is a wasteful number, since it uses less digits than its factorization.

107157840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 107157840 is about 10351.7071055937. The cubic root of 107157840 is about 474.9792640994.

The spelling of 107157840 in words is "one hundred seven million, one hundred fifty-seven thousand, eight hundred forty".