100110160 has 80 divisors (see below), whose sum is σ = 246984192. Its totient is φ = 37670400.

The previous prime is 100110139. The next prime is 100110173. The reversal of 100110160 is 61011001.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 91215 + ... + 92305.

Almost surely, 2^100110160 is an apocalyptic number.

100110160 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 100110160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492096).

100110160 is an abundant number, since it is smaller than the sum of its proper divisors (146874032).

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

100110160 is a wasteful number, since it uses less digits than its factorization.

100110160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 100110160 is about 10005.5064839317. The cubic root of 100110160 is about 464.3292599563.

Adding to 100110160 its reverse (61011001), we get a palindrome (161121161).

The spelling of 100110160 in words is "one hundred million, one hundred ten thousand, one hundred sixty".