100585000 has 40 divisors (see below), whose sum is σ = 235682370. Its totient is φ = 40232000.

The previous prime is 100584973. The next prime is 100585087. The reversal of 100585000 is 585001.

It can be written as a sum of positive squares in 5 ways, for example, as 224676 + 100360324 = 474^2 + 10018^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5059 + ... + 15058.

Almost surely, 2^100585000 is an apocalyptic number.

100585000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100585000 is an abundant number, since it is smaller than the sum of its proper divisors (135097370).

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

100585000 is an equidigital number, since it uses as much as digits as its factorization.

100585000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20143 (or 20124 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 100585000 is about 10029.2073465454. The cubic root of 100585000 is about 465.0622339335.

Subtracting from 100585000 its reverse (585001), we obtain a palindrome (99999999).

The spelling of 100585000 in words is "one hundred million, five hundred eighty-five thousand".