10327843876 has 135 divisors (see below), whose sum is σ = 22771197267. Its totient is φ = 4097560320.

The previous prime is 10327843853. The next prime is 10327843909. The reversal of 10327843876 is 67834872301.

It is a happy number.

The square root of 10327843876 is 101626.

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 952956900 + 9374886976 = 30870^2 + 96824^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 169308886 + ... + 169308946.

Almost surely, 2^10327843876 is an apocalyptic number.

10327843876 is the 101626-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10327843876

10327843876 is an abundant number, since it is smaller than the sum of its proper divisors (12443353391).

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

10327843876 is an frugal number, since it uses more digits than its factorization.

10327843876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

Multiplying 10327843876 by its sum of digits (49), we get a square (506064349924 = 711382²).

10327843876 divided by its sum of digits (49) gives a square (210772324 = 14518²).

The spelling of 10327843876 in words is "ten billion, three hundred twenty-seven million, eight hundred forty-three thousand, eight hundred seventy-six".