104725373769 has 45 divisors (see below), whose sum is σ = 160533369381. Its totient is φ = 68036397120.

The previous prime is 104725373749. The next prime is 104725373771. The reversal of 104725373769 is 967373527401.

The square root of 104725373769 is 323613.

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

104725373769 is a `hidden beast` number, since 1 + 0 + 4 + 72 + 537 + 37 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3609005625 + 101116368144 = 60075^2 + 317988^2 .

It is not a de Polignac number, because 104725373769 - 2¹⁵ = 104725341001 is a prime.

It is a super-2 number, since 2×104725373769² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104725373749) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 119412759 + ... + 119413635.

Almost surely, 2^104725373769 is an apocalyptic number.

104725373769 is the 323613-rd square number.

104725373769 is the 161807-th centered octagonal number.

It is an amenable number.

104725373769 is a deficient number, since it is larger than the sum of its proper divisors (55807995612).

104725373769 is an frugal number, since it uses more digits than its factorization.

104725373769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 104725373769 in words is "one hundred four billion, seven hundred twenty-five million, three hundred seventy-three thousand, seven hundred sixty-nine".