100916160 has 112 divisors (see below), whose sum is σ = 330842112. Its totient is φ = 26035200.

The previous prime is 100916117. The next prime is 100916171. The reversal of 100916160 is 61619001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100916160.

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, 28065 + ... + 31455.

Almost surely, 2^100916160 is an apocalyptic number.

100916160 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 100916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165421056).

100916160 is an abundant number, since it is smaller than the sum of its proper divisors (229925952).

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

100916160 is a wasteful number, since it uses less digits than its factorization.

100916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 100916160 is about 10045.7035592337. The cubic root of 100916160 is about 465.5720558092.

The spelling of 100916160 in words is "one hundred million, nine hundred sixteen thousand, one hundred sixty".