100713160 has 64 divisors (see below), whose sum is σ = 232107120. Its totient is φ = 39321600.

The previous prime is 100713139. The next prime is 100713163. The reversal of 100713160 is 61317001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 94128804 + 6584356 = 9702^2 + 2566^2 .

It is not an unprimeable number, because it can be changed into a prime (100713163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391752 + ... + 392008.

Almost surely, 2^100713160 is an apocalyptic number.

100713160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100713160 is an abundant number, since it is smaller than the sum of its proper divisors (131393960).

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

100713160 is a wasteful number, since it uses less digits than its factorization.

100713160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 100713160 is about 10035.5946510409. The cubic root of 100713160 is about 465.2596692031.

It can be divided in two parts, 10071 and 3160, that added together give a palindrome (13231).

The spelling of 100713160 in words is "one hundred million, seven hundred thirteen thousand, one hundred sixty".