10768212900 has 135 divisors (see below), whose sum is σ = 34936592691. Its totient is φ = 2869032960.

The previous prime is 10768212859. The next prime is 10768212901. The reversal of 10768212900 is 921286701.

The square root of 10768212900 is 103770.

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 300467556 + 10467745344 = 17334^2 + 102312^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10768212901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9338724 + ... + 9339876.

Almost surely, 2^10768212900 is an apocalyptic number.

10768212900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10768212900 is the 103770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10768212900

10768212900 is an abundant number, since it is smaller than the sum of its proper divisors (24168379791).

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

10768212900 is an equidigital number, since it uses as much as digits as its factorization.

10768212900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 10768212900 by its sum of digits (36), we get a square (387655664400 = 622620²).

10768212900 divided by its sum of digits (36) gives a square (299117025 = 17295²).

The spelling of 10768212900 in words is "ten billion, seven hundred sixty-eight million, two hundred twelve thousand, nine hundred".