10229704164 has 63 divisors (see below), whose sum is σ = 26855032953. Its totient is φ = 3408080832.

The previous prime is 10229704153. The next prime is 10229704187. The reversal of 10229704164 is 46140792201.

It is a happy number.

The square root of 10229704164 is 101142.

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

10229704164 is a `hidden beast` number, since 10 + 229 + 7 + 0 + 416 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 271260900 + 9958443264 = 16470^2 + 99792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5460732 + ... + 5462604.

Almost surely, 2^10229704164 is an apocalyptic number.

10229704164 is the 101142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10229704164

10229704164 is an abundant number, since it is smaller than the sum of its proper divisors (16625328789).

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

10229704164 is an frugal number, since it uses more digits than its factorization.

10229704164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 10229704164 by its sum of digits (36), we get a square (368269349904 = 606852²).

10229704164 divided by its sum of digits (36) gives a square (284158449 = 16857²).

The spelling of 10229704164 in words is "ten billion, two hundred twenty-nine million, seven hundred four thousand, one hundred sixty-four".