102585960 has 192 divisors, whose sum is σ = 357508800. Its totient is φ = 26151552.

The previous prime is 102585947. The next prime is 102585961. The reversal of 102585960 is 69585201.

It is a happy number.

102585960 is a `hidden beast` number, since 10 + 2 + 58 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102585961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2182657 + ... + 2182703.

It is an arithmetic number, because the mean of its divisors is an integer number (1862025).

Almost surely, 2^102585960 is an apocalyptic number.

102585960 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 102585960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178754400).

102585960 is an abundant number, since it is smaller than the sum of its proper divisors (254922840).

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

102585960 is a wasteful number, since it uses less digits than its factorization.

102585960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 102585960 is about 10128.4727377823. The cubic root of 102585960 is about 468.1258701543.

The spelling of 102585960 in words is "one hundred two million, five hundred eighty-five thousand, nine hundred sixty".