10336788900 has 81 divisors (see below), whose sum is σ = 32409653731. Its totient is φ = 2755663680.

The previous prime is 10336788887. The next prime is 10336788947. The reversal of 10336788900 is 988763301.

It is a happy number.

The square root of 10336788900 is 101670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2132777124 + 8204011776 = 46182^2 + 90576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3048406 + ... + 3051794.

Almost surely, 2^10336788900 is an apocalyptic number.

10336788900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10336788900 is the 101670-th square number.

It is an amenable number.

10336788900 is an abundant number, since it is smaller than the sum of its proper divisors (22072864831).

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

10336788900 is an equidigital number, since it uses as much as digits as its factorization.

10336788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 10336 and 788900, that added together give a square (799236 = 894²).

The spelling of 10336788900 in words is "ten billion, three hundred thirty-six million, seven hundred eighty-eight thousand, nine hundred".