10549344100 has 27 divisors (see below), whose sum is σ = 22894305721. Its totient is φ = 4219326800.

The previous prime is 10549344061. The next prime is 10549344109. The reversal of 10549344100 is 144394501.

The square root of 10549344100 is 102710.

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

10549344100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3797763876 + 6751580224 = 61626^2 + 82168^2 .

It is a super-2 number, since 2×10549344100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10549344109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1021965 + ... + 1032235.

Almost surely, 2^10549344100 is an apocalyptic number.

10549344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10549344100 is the 102710-th square number.

It is an amenable number.

10549344100 is an abundant number, since it is smaller than the sum of its proper divisors (12344961621).

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

10549344100 is an frugal number, since it uses more digits than its factorization.

10549344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20556 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 10549344100 in words is "ten billion, five hundred forty-nine million, three hundred forty-four thousand, one hundred".