10454164224100 has 81 divisors (see below), whose sum is σ = 22780298219553. Its totient is φ = 4164270589440.

The previous prime is 10454164224089. The next prime is 10454164224131. The reversal of 10454164224100 is 142246145401.

The square root of 10454164224100 is 3233290.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7722918812196 + 2731245411904 = 2779014^2 + 1652648^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 10120197184 + ... + 10120198216.

Almost surely, 2^{10454164224100} is an apocalyptic number.

10454164224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10454164224100 is the 3233290-th square number.

It is an amenable number.

10454164224100 is an abundant number, since it is smaller than the sum of its proper divisors (12326133995453).

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

10454164224100 is an frugal number, since it uses more digits than its factorization.

10454164224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 10454164224100 in words is "ten trillion, four hundred fifty-four billion, one hundred sixty-four million, two hundred twenty-four thousand, one hundred".