10900404025 has 81 divisors (see below), whose sum is σ = 16700742189. Its totient is φ = 7036061760.

The previous prime is 10900404013. The next prime is 10900404071. The reversal of 10900404025 is 52040400901.

The square root of 10900404025 is 104405.

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 1318343481 + 9582060544 = 36309^2 + 97888^2 .

It is not a de Polignac number, because 10900404025 - 2⁵ = 10900403993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 69429247 + ... + 69429403.

Almost surely, 2^10900404025 is an apocalyptic number.

10900404025 is the 104405-th square number.

10900404025 is the 52203-rd centered octagonal number.

It is an amenable number.

10900404025 is a deficient number, since it is larger than the sum of its proper divisors (5800338164).

10900404025 is an equidigital number, since it uses as much as digits as its factorization.

10900404025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 10900404025 by its sum of digits (25), we get a square (272510100625 = 522025²).

10900404025 divided by its sum of digits (25) gives a square (436016161 = 20881²).

Adding to 10900404025 its reverse (52040400901), we get a palindrome (62940804926).

The spelling of 10900404025 in words is "ten billion, nine hundred million, four hundred four thousand, twenty-five".