10231727104 has 99 divisors (see below), whose sum is σ = 21379197567. Its totient is φ = 4894138368.

The previous prime is 10231727101. The next prime is 10231727119. The reversal of 10231727104 is 40172713201.

The square root of 10231727104 is 101152.

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 517653504 + 9714073600 = 22752^2 + 98560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10231727101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 93869002 + ... + 93869110.

Almost surely, 2^10231727104 is an apocalyptic number.

10231727104 is the 101152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10231727104

10231727104 is an abundant number, since it is smaller than the sum of its proper divisors (11147470463).

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

10231727104 is an frugal number, since it uses more digits than its factorization.

10231727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 10231727104 in words is "ten billion, two hundred thirty-one million, seven hundred twenty-seven thousand, one hundred four".