10188064900 has 72 divisors (see below), whose sum is σ = 23904345024. Its totient is φ = 3746640000.

The previous prime is 10188064847. The next prime is 10188064921. The reversal of 10188064900 is 946088101.

It is a happy number.

It is a super-2 number, since 2×10188064900² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10188064900.

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 23 ways as a sum of consecutive naturals, for example, 310689 + ... + 341911.

It is an arithmetic number, because the mean of its divisors is an integer number (332004792).

Almost surely, 2^10188064900 is an apocalyptic number.

10188064900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10188064900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952172512).

10188064900 is an abundant number, since it is smaller than the sum of its proper divisors (13716280124).

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

10188064900 is a wasteful number, since it uses less digits than its factorization.

10188064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31501 (or 31494 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 10188064900 in words is "ten billion, one hundred eighty-eight million, sixty-four thousand, nine hundred".