102944704791889 has 9 divisors (see below), whose sum is σ = 103156493589723. Its totient is φ = 102733349987112.

The previous prime is 102944704791883. The next prime is 102944704791913. The reversal of 102944704791889 is 988197407449201.

The square root of 102944704791889 is 10146167.

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., 99550606025025 + 3394098766864 = 9977505^2 + 1842308^2 .

It is not a de Polignac number, because 102944704791889 - 2²⁹ = 102944167920977 is a prime.

It is a super-2 number, since 2×102944704791889² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102944704791883) by changing a digit.

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, 5062927167 + ... + 5062947499.

Almost surely, 2^{102944704791889} is an apocalyptic number.

102944704791889 is the 10146167-th square number.

102944704791889 is the 5073084-th centered octagonal number.

It is an amenable number.

102944704791889 is a deficient number, since it is larger than the sum of its proper divisors (211788797834).

102944704791889 is an frugal number, since it uses more digits than its factorization.

102944704791889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41664 (or 20832 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 73.

The spelling of 102944704791889 in words is "one hundred two trillion, nine hundred forty-four billion, seven hundred four million, seven hundred ninety-one thousand, eight hundred eighty-nine".