102160100 has 54 divisors (see below), whose sum is σ = 257893650. Its totient is φ = 35024640.

The previous prime is 102160067. The next prime is 102160103. The reversal of 102160100 is 1061201.

It can be written as a sum of positive squares in 3 ways, for example, as 23872996 + 78287104 = 4886^2 + 8848^2 .

It is not an unprimeable number, because it can be changed into a prime (102160103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5525 + ... + 15324.

Almost surely, 2^102160100 is an apocalyptic number.

102160100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102160100 is an abundant number, since it is smaller than the sum of its proper divisors (155733550).

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

102160100 is a wasteful number, since it uses less digits than its factorization.

102160100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20877 (or 20863 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102160100 is about 10107.4279616528. The cubic root of 102160100 is about 467.4772025067.

The spelling of 102160100 in words is "one hundred two million, one hundred sixty thousand, one hundred".