102160000 has 80 divisors (see below), whose sum is σ = 254520090. Its totient is φ = 40832000.

The previous prime is 102159961. The next prime is 102160001. The reversal of 102160000 is 61201.

It can be written as a sum of positive squares in 5 ways, for example, as 3594816 + 98565184 = 1896^2 + 9928^2 .

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 not an unprimeable number, because it can be changed into a prime (102160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79362 + ... + 80638.

Almost surely, 2^102160000 is an apocalyptic number.

102160000 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 102160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127260045).

102160000 is an abundant number, since it is smaller than the sum of its proper divisors (152360090).

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

102160000 is an frugal number, since it uses more digits than its factorization.

102160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102160000 is about 10107.4230147946. The cubic root of 102160000 is about 467.4770499758.

The spelling of 102160000 in words is "one hundred two million, one hundred sixty thousand".