104437412577 has 12 divisors (see below), whose sum is σ = 150860015124. Its totient is φ = 69622184160.

The previous prime is 104437412509. The next prime is 104437412593. The reversal of 104437412577 is 775214734401.

104437412577 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 3 + 74 + 1 + 2 + 577 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58622578641 + 45814833936 = 242121^2 + 214044^2 .

It is not a de Polignac number, because 104437412577 - 2³⁵ = 70077674209 is a prime.

It is a super-3 number, since 3×104437412577³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (104437412777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24927 + ... + 457707.

It is an arithmetic number, because the mean of its divisors is an integer number (12571667927).

Almost surely, 2^104437412577 is an apocalyptic number.

It is an amenable number.

104437412577 is a deficient number, since it is larger than the sum of its proper divisors (46422602547).

104437412577 is a wasteful number, since it uses less digits than its factorization.

104437412577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459600 (or 459597 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 104437412577 in words is "one hundred four billion, four hundred thirty-seven million, four hundred twelve thousand, five hundred seventy-seven".