104685586401 has 32 divisors (see below), whose sum is σ = 156664147968. Its totient is φ = 61621007040.

The previous prime is 104685586393. The next prime is 104685586429.

104685586401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104685586401 - 2³ = 104685586393 is a prime.

It is a super-2 number, since 2×104685586401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104685586501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611280 + ... + 763566.

It is an arithmetic number, because the mean of its divisors is an integer number (4895754624).

Almost surely, 2^104685586401 is an apocalyptic number.

104685586401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104685586401 is a deficient number, since it is larger than the sum of its proper divisors (51978561567).

104685586401 is a wasteful number, since it uses less digits than its factorization.

104685586401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152901.

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 104685586401 in words is "one hundred four billion, six hundred eighty-five million, five hundred eighty-six thousand, four hundred one".