10552631076 has 135 divisors (see below), whose sum is σ = 29940148161. Its totient is φ = 3239567136.

The previous prime is 10552631029. The next prime is 10552631107. The reversal of 10552631076 is 67013625501.

The square root of 10552631076 is 102726.

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

10552631076 is a `hidden beast` number, since 1 + 0 + 552 + 6 + 31 + 0 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1561040100 + 8991590976 = 39510^2 + 94824^2 .

It is a super-2 number, since 2×10552631076² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10552631076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24037665 + ... + 24038103.

Almost surely, 2^10552631076 is an apocalyptic number.

10552631076 is the 102726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10552631076

10552631076 is an abundant number, since it is smaller than the sum of its proper divisors (19387517085).

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

10552631076 is an equidigital number, since it uses as much as digits as its factorization.

10552631076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 10552631076 by its sum of digits (36), we get a square (379894718736 = 616356²).

10552631076 divided by its sum of digits (36) gives a square (293128641 = 17121²).

The spelling of 10552631076 in words is "ten billion, five hundred fifty-two million, six hundred thirty-one thousand, seventy-six".