102920339344 has 45 divisors (see below), whose sum is σ = 201201771537. Its totient is φ = 51001408512.

The previous prime is 102920339321. The next prime is 102920339359. The reversal of 102920339344 is 443933029201.

It is a happy number.

The square root of 102920339344 is 320812.

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., 102208090000 + 712249344 = 319700^2 + 26688^2 .

It is a super-2 number, since 2×102920339344² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102920339297 and 102920339306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 178371184 + ... + 178371760.

Almost surely, 2^102920339344 is an apocalyptic number.

102920339344 is the 320812-nd square number.

It is an amenable number.

102920339344 is a deficient number, since it is larger than the sum of its proper divisors (98281432193).

102920339344 is an frugal number, since it uses more digits than its factorization.

102920339344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 102920339344 in words is "one hundred two billion, nine hundred twenty million, three hundred thirty-nine thousand, three hundred forty-four".