100009952 has 24 divisors (see below), whose sum is σ = 225022896. Its totient is φ = 42861312.

The previous prime is 100009933. The next prime is 100009969. The reversal of 100009952 is 259900001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 223013 + ... + 223460.

It is an arithmetic number, because the mean of its divisors is an integer number (9375954).

Almost surely, 2^100009952 is an apocalyptic number.

It is an amenable number.

100009952 is an abundant number, since it is smaller than the sum of its proper divisors (125012944).

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

100009952 is an equidigital number, since it uses as much as digits as its factorization.

100009952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446490 (or 446482 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 100009952 is about 10000.4975876203. The cubic root of 100009952 is about 464.1742805479.

Adding to 100009952 its reverse (259900001), we get a palindrome (359909953).

The spelling of 100009952 in words is "one hundred million, nine thousand, nine hundred fifty-two".