102153660 has 96 divisors (see below), whose sum is σ = 338204160. Its totient is φ = 22541568.

The previous prime is 102153659. The next prime is 102153683. The reversal of 102153660 is 66351201.

It is a self number, because there is not a number n which added to its sum of digits gives 102153660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7987 + ... + 16373.

It is an arithmetic number, because the mean of its divisors is an integer number (3522960).

Almost surely, 2^102153660 is an apocalyptic number.

102153660 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 102153660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169102080).

102153660 is an abundant number, since it is smaller than the sum of its proper divisors (236050500).

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

102153660 is a wasteful number, since it uses less digits than its factorization.

102153660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8435 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 102153660 is about 10107.1093790460. The cubic root of 102153660 is about 467.4673793095.

The spelling of 102153660 in words is "one hundred two million, one hundred fifty-three thousand, six hundred sixty".