10684323225 has 45 divisors (see below), whose sum is σ = 19799679757. Its totient is φ = 5695824960.

The previous prime is 10684323211. The next prime is 10684323253. The reversal of 10684323225 is 52232348601.

The square root of 10684323225 is 103365.

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

10684323225 is a `hidden beast` number, since 106 + 8 + 4 + 323 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 312122889 + 10372200336 = 17667^2 + 101844^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 10684323225 - 2⁹ = 10684322713 is a prime.

It is a super-2 number, since 2×10684323225² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10684323225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4650277 + ... + 4652573.

Almost surely, 2^10684323225 is an apocalyptic number.

10684323225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10684323225 is the 103365-th square number.

10684323225 is the 51683-rd centered octagonal number.

It is an amenable number.

10684323225 is a deficient number, since it is larger than the sum of its proper divisors (9115356532).

10684323225 is an frugal number, since it uses more digits than its factorization.

10684323225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 10684323225 by its sum of digits (36), we get a square (384635636100 = 620190²).

The spelling of 10684323225 in words is "ten billion, six hundred eighty-four million, three hundred twenty-three thousand, two hundred twenty-five".