102161160 has 96 divisors (see below), whose sum is σ = 351575640. Its totient is φ = 25638912.

The previous prime is 102161149. The next prime is 102161161. The reversal of 102161160 is 61161201.

It can be written as a sum of positive squares in 4 ways, for example, as 72284004 + 29877156 = 8502^2 + 5466^2 .

It is a super-2 number, since 2×102161160² = 20873805225091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102161161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2227 + ... + 14466.

Almost surely, 2^102161160 is an apocalyptic number.

102161160 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 102161160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175787820).

102161160 is an abundant number, since it is smaller than the sum of its proper divisors (249414480).

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

102161160 is a wasteful number, since it uses less digits than its factorization.

102161160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16727 (or 16720 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 102161160 is about 10107.4803982001. The cubic root of 102161160 is about 467.4788193288.

The spelling of 102161160 in words is "one hundred two million, one hundred sixty-one thousand, one hundred sixty".