100661160 has 64 divisors (see below), whose sum is σ = 306146880. Its totient is φ = 26472960.

The previous prime is 100661153. The next prime is 100661167. The reversal of 100661160 is 61166001.

It is an interprime number because it is at equal distance from previous prime (100661153) and next prime (100661167).

It is not an unprimeable number, because it can be changed into a prime (100661167) 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, 3015 + ... + 14505.

It is an arithmetic number, because the mean of its divisors is an integer number (4783545).

Almost surely, 2^100661160 is an apocalyptic number.

100661160 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 100661160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153073440).

100661160 is an abundant number, since it is smaller than the sum of its proper divisors (205485720).

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

100661160 is a wasteful number, since it uses less digits than its factorization.

100661160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11578 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 100661160 is about 10033.0035383229. The cubic root of 100661160 is about 465.1795814640.

The spelling of 100661160 in words is "one hundred million, six hundred sixty-one thousand, one hundred sixty".