10084686900 has 36 divisors (see below), whose sum is σ = 29178361632. Its totient is φ = 2689249760.

The previous prime is 10084686889. The next prime is 10084686961. The reversal of 10084686900 is 968648001.

It is a super-2 number, since 2×10084686900² (a number of 21 digits) contains 22 as substring.

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 in 11 ways as a sum of consecutive naturals, for example, 16807512 + ... + 16808111.

Almost surely, 2^10084686900 is an apocalyptic number.

10084686900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10084686900 is an abundant number, since it is smaller than the sum of its proper divisors (19093674732).

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

10084686900 is a wasteful number, since it uses less digits than its factorization.

10084686900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33615640 (or 33615633 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 10084686900 in words is "ten billion, eighty-four million, six hundred eighty-six thousand, nine hundred".