104771166345 has 48 divisors (see below), whose sum is σ = 192642093072. Its totient is φ = 52493598720.

The previous prime is 104771166307. The next prime is 104771166373. The reversal of 104771166345 is 543661177401.

It is a happy number.

104771166345 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 7 + 1 + 1 + 6 + 634 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15432347529 + 89338818816 = 124227^2 + 298896^2 .

It is not a de Polignac number, because 104771166345 - 2¹⁶ = 104771100809 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 104771166345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287289 + ... + 540441.

It is an arithmetic number, because the mean of its divisors is an integer number (4013376939).

Almost surely, 2^104771166345 is an apocalyptic number.

104771166345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104771166345 is a deficient number, since it is larger than the sum of its proper divisors (87870926727).

104771166345 is a wasteful number, since it uses less digits than its factorization.

104771166345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253722 (or 253719 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 104771166345 in words is "one hundred four billion, seven hundred seventy-one million, one hundred sixty-six thousand, three hundred forty-five".