100560160 has 72 divisors (see below), whose sum is σ = 250879356. Its totient is φ = 38085120.

The previous prime is 100560157. The next prime is 100560181. The reversal of 100560160 is 61065001.

It can be written as a sum of positive squares in 2 ways, for example, as 81793936 + 18766224 = 9044^2 + 4332^2 .

It is a super-2 number, since 2×100560160² = 20224691558451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56890 + ... + 58630.

Almost surely, 2^100560160 is an apocalyptic number.

100560160 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 100560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125439678).

100560160 is an abundant number, since it is smaller than the sum of its proper divisors (150319196).

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

100560160 is a wasteful number, since it uses less digits than its factorization.

100560160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 100560160 is about 10027.9688870678. The cubic root of 100560160 is about 465.0239475854.

The spelling of 100560160 in words is "one hundred million, five hundred sixty thousand, one hundred sixty".