10796900 has 36 divisors (see below), whose sum is σ = 23683380. Its totient is φ = 4272000.

The previous prime is 10796893. The next prime is 10796909. The reversal of 10796900 is 969701.

It can be written as a sum of positive squares in 6 ways, for example, as 195364 + 10601536 = 442^2 + 3256^2 .

It is a super-2 number, since 2×10796900² = 233146099220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10796909) by changing a digit.

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, 9566 + ... + 10634.

Almost surely, 2^10796900 is an apocalyptic number.

10796900 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 10796900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11841690).

10796900 is an abundant number, since it is smaller than the sum of its proper divisors (12886480).

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

10796900 is a wasteful number, since it uses less digits than its factorization.

10796900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 10796900 is about 3285.8636612008. The cubic root of 10796900 is about 221.0207388249.

The spelling of 10796900 in words is "ten million, seven hundred ninety-six thousand, nine hundred".