104677711632561 has 48 divisors (see below), whose sum is σ = 148833930098880. Its totient is φ = 65425638038400.

The previous prime is 104677711632517. The next prime is 104677711632569. The reversal of 104677711632561 is 165236117776401.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-104677711632561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104677711632569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224330230 + ... + 224796368.

It is an arithmetic number, because the mean of its divisors is an integer number (3100706877060).

Almost surely, 2^{104677711632561} is an apocalyptic number.

It is an amenable number.

104677711632561 is a deficient number, since it is larger than the sum of its proper divisors (44156218466319).

104677711632561 is a wasteful number, since it uses less digits than its factorization.

104677711632561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468334 (or 468315 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 57.

The spelling of 104677711632561 in words is "one hundred four trillion, six hundred seventy-seven billion, seven hundred eleven million, six hundred thirty-two thousand, five hundred sixty-one".