104072949 has 18 divisors (see below), whose sum is σ = 152016930. Its totient is φ = 68610816.

The previous prime is 104072923. The next prime is 104072959. The reversal of 104072949 is 949270401.

It can be written as a sum of positive squares in 3 ways, for example, as 40870449 + 63202500 = 6393^2 + 7950^2 .

It is not a de Polignac number, because 104072949 - 2²⁰ = 103024373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104072959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 84067 + ... + 85295.

It is an arithmetic number, because the mean of its divisors is an integer number (8445385).

Almost surely, 2^104072949 is an apocalyptic number.

It is an amenable number.

104072949 is a deficient number, since it is larger than the sum of its proper divisors (47943981).

104072949 is an equidigital number, since it uses as much as digits as its factorization.

104072949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 104072949 is about 10201.6150192016. The cubic root of 104072949 is about 470.3768653805.

The spelling of 104072949 in words is "one hundred four million, seventy-two thousand, nine hundred forty-nine".