10692801900225 has 81 divisors (see below), whose sum is σ = 19245841329897. Its totient is φ = 5675019727680.

The previous prime is 10692801900199. The next prime is 10692801900269. The reversal of 10692801900225 is 52200910829601.

It is a happy number.

The square root of 10692801900225 is 3269985.

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

10692801900225 is a `hidden beast` number, since 1 + 0 + 69 + 280 + 1 + 90 + 0 + 225 = 666.

10692801900225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2450298707649 + 8242503192576 = 1565343^2 + 2870976^2 .

It is not a de Polignac number, because 10692801900225 - 2⁹ = 10692801899713 is a prime.

It is a super-2 number, since 2×10692801900225² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13586787282 + ... + 13586788068.

Almost surely, 2^{10692801900225} is an apocalyptic number.

10692801900225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10692801900225 is the 3269985-th square number.

10692801900225 is the 1634993-rd centered octagonal number.

It is an amenable number.

10692801900225 is a deficient number, since it is larger than the sum of its proper divisors (8553039429672).

10692801900225 is an frugal number, since it uses more digits than its factorization.

10692801900225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10692801900225 in words is "ten trillion, six hundred ninety-two billion, eight hundred one million, nine hundred thousand, two hundred twenty-five".