100585002 has 16 divisors (see below), whose sum is σ = 229908672. Its totient is φ = 28738560.

The previous prime is 100584973. The next prime is 100585087. The reversal of 100585002 is 200585001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100585002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197399 + ... + 1197482.

It is an arithmetic number, because the mean of its divisors is an integer number (14369292).

Almost surely, 2^100585002 is an apocalyptic number.

100585002 is an abundant number, since it is smaller than the sum of its proper divisors (129323670).

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

100585002 is a wasteful number, since it uses less digits than its factorization.

100585002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394893.

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

The square root of 100585002 is about 10029.2074462542. The cubic root of 100585002 is about 465.0622370159.

Subtracting 100585002 from its reverse (200585001), we obtain a palindrome (99999999).

The spelling of 100585002 in words is "one hundred million, five hundred eighty-five thousand, two".