105892969744 has 15 divisors (see below), whose sum is σ = 205170150853. Its totient is φ = 52945834048.

The previous prime is 105892969709. The next prime is 105892969747. The reversal of 105892969744 is 447969298501.

The square root of 105892969744 is 325412.

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

It can be written as a sum of positive squares in only one way, i.e., 83186096400 + 22706873344 = 288420^2 + 150688^2 .

It is a super-2 number, since 2×105892969744² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105892969747) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 1260972 + ... + 1342324.

Almost surely, 2^105892969744 is an apocalyptic number.

105892969744 is the 325412-nd square number.

It is an amenable number.

105892969744 is a deficient number, since it is larger than the sum of its proper divisors (99277181109).

105892969744 is an frugal number, since it uses more digits than its factorization.

105892969744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162714 (or 81355 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

Multiplying 105892969744 by its sum of digits (64), we get a square (6777150063616 = 2603296²).

The spelling of 105892969744 in words is "one hundred five billion, eight hundred ninety-two million, nine hundred sixty-nine thousand, seven hundred forty-four".