100010085632 has 18 divisors (see below), whose sum is σ = 199629507378. Its totient is φ = 50005042688.

The previous prime is 100010085613. The next prime is 100010085649. The reversal of 100010085632 is 236580010001.

100010085632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 52283566336 + 47726519296 = 228656^2 + 218464^2 .

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 195331943 + ... + 195332454.

Almost surely, 2^100010085632 is an apocalyptic number.

It is an amenable number.

100010085632 is a deficient number, since it is larger than the sum of its proper divisors (99619421746).

100010085632 is an frugal number, since it uses more digits than its factorization.

100010085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390664413 (or 390664399 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 100010085632 its reverse (236580010001), we get a palindrome (336590095633).

The spelling of 100010085632 in words is "one hundred billion, ten million, eighty-five thousand, six hundred thirty-two".