102585000 has 160 divisors (see below), whose sum is σ = 366632640. Its totient is φ = 23424000.

The previous prime is 102584959. The next prime is 102585001. The reversal of 102585000 is 585201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102585001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104512 + ... + 105488.

It is an arithmetic number, because the mean of its divisors is an integer number (2291454).

Almost surely, 2^102585000 is an apocalyptic number.

102585000 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 102585000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183316320).

102585000 is an abundant number, since it is smaller than the sum of its proper divisors (264047640).

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

102585000 is an equidigital number, since it uses as much as digits as its factorization.

102585000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 102585000 is about 10128.4253465186. The cubic root of 102585000 is about 468.1244099082.

The spelling of 102585000 in words is "one hundred two million, five hundred eighty-five thousand".