104777158249 has 9 divisors (see below), whose sum is σ = 105996801477. Its totient is φ = 103571401824.

The previous prime is 104777158247. The next prime is 104777158271. The reversal of 104777158249 is 942851777401.

The square root of 104777158249 is 323693.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69608907225 + 35168251024 = 263835^2 + 187532^2 .

It is not a de Polignac number, because 104777158249 - 2¹ = 104777158247 is a prime.

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 104777158249.

It is not an unprimeable number, because it can be changed into a prime (104777158243) 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 8 ways as a sum of consecutive naturals, for example, 28806859 + ... + 28810495.

Almost surely, 2^104777158249 is an apocalyptic number.

104777158249 is the 323693-rd square number.

104777158249 is the 161847-th centered octagonal number.

It is an amenable number.

104777158249 is a deficient number, since it is larger than the sum of its proper divisors (1219643228).

104777158249 is an frugal number, since it uses more digits than its factorization.

104777158249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 55.

The spelling of 104777158249 in words is "one hundred four billion, seven hundred seventy-seven million, one hundred fifty-eight thousand, two hundred forty-nine".