10905092825796 has 81 divisors (see below), whose sum is σ = 29849901443271. Its totient is φ = 3355333922304.

The previous prime is 10905092825779. The next prime is 10905092825807. The reversal of 10905092825796 is 69752829050901.

The square root of 10905092825796 is 3302286.

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

10905092825796 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 50 + 9 + 2 + 8 + 2 + 579 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14300811396 + 10890792014400 = 119586^2 + 3300120^2 .

It is a super-4 number, since 4×10905092825796⁴ (a number of 53 digits) contains 4444 as substring.

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, 257557140 + ... + 257599476.

Almost surely, 2^{10905092825796} is an apocalyptic number.

10905092825796 is the 3302286-th square number.

It is an amenable number.

10905092825796 is an abundant number, since it is smaller than the sum of its proper divisors (18944808617475).

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

10905092825796 is an frugal number, since it uses more digits than its factorization.

10905092825796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84710 (or 42355 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 10905092825796 in words is "ten trillion, nine hundred five billion, ninety-two million, eight hundred twenty-five thousand, seven hundred ninety-six".