104872761689 has 2 divisors, whose sum is σ = 104872761690. Its totient is φ = 104872761688.

The previous prime is 104872761671. The next prime is 104872761691. The reversal of 104872761689 is 986167278401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104435617225 + 437144464 = 323165^2 + 20908^2 .

It is a cyclic number.

It is not a de Polignac number, because 104872761689 - 2¹² = 104872757593 is a prime.

It is a super-2 number, since 2×104872761689² (a number of 23 digits) contains 22 as substring.

Together with 104872761691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (104872761649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52436380844 + 52436380845.

It is an arithmetic number, because the mean of its divisors is an integer number (52436380845).

Almost surely, 2^104872761689 is an apocalyptic number.

It is an amenable number.

104872761689 is a deficient number, since it is larger than the sum of its proper divisors (1).

104872761689 is an equidigital number, since it uses as much as digits as its factorization.

104872761689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8128512, while the sum is 59.

The spelling of 104872761689 in words is "one hundred four billion, eight hundred seventy-two million, seven hundred sixty-one thousand, six hundred eighty-nine".