104712416101 has 4 divisors (see below), whose sum is σ = 108323189100. Its totient is φ = 101101643104.

The previous prime is 104712416071. The next prime is 104712416131. The reversal of 104712416101 is 101614217401.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 101614217401 = 2143 ⋅47416807.

It is an interprime number because it is at equal distance from previous prime (104712416071) and next prime (104712416131).

It can be written as a sum of positive squares in 2 ways, for example, as 76965185476 + 27747230625 = 277426^2 + 166575^2 .

It is a cyclic number.

It is not a de Polignac number, because 104712416101 - 2⁵ = 104712416069 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 104712416101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104712416131) 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 3 ways as a sum of consecutive naturals, for example, 1805386456 + ... + 1805386513.

It is an arithmetic number, because the mean of its divisors is an integer number (27080797275).

Almost surely, 2^104712416101 is an apocalyptic number.

It is an amenable number.

104712416101 is a deficient number, since it is larger than the sum of its proper divisors (3610772999).

104712416101 is an equidigital number, since it uses as much as digits as its factorization.

104712416101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610772998.

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 104712416101 in words is "one hundred four billion, seven hundred twelve million, four hundred sixteen thousand, one hundred one".