104980905348361 has 81 divisors (see below), whose sum is σ = 134399632849599. Its totient is φ = 81742575645696.

The previous prime is 104980905348353. The next prime is 104980905348439. The reversal of 104980905348361 is 163843509089401.

The square root of 104980905348361 is 10246019.

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 89233056005625 + 15747849342736 = 9446325^2 + 3968356^2 .

It is not a de Polignac number, because 104980905348361 - 2³ = 104980905348353 is a prime.

It is a super-2 number, since 2×104980905348361² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 104980905348361.

It is not an unprimeable number, because it can be changed into a prime (104980905348461) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35359010085 + ... + 35359013053.

Almost surely, 2^{104980905348361} is an apocalyptic number.

104980905348361 is the 10246019-th square number.

104980905348361 is the 5123010-th centered octagonal number.

It is an amenable number.

104980905348361 is a deficient number, since it is larger than the sum of its proper divisors (29418727501238).

104980905348361 is an frugal number, since it uses more digits than its factorization.

104980905348361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 104980905348361 in words is "one hundred four trillion, nine hundred eighty billion, nine hundred five million, three hundred forty-eight thousand, three hundred sixty-one".