104689986401 has 16 divisors (see below), whose sum is σ = 140562780288. Its totient is φ = 75301488000.

The previous prime is 104689986337. The next prime is 104689986407.

104689986401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 104689986401 - 2⁶ = 104689986337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104689986407) 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 15 ways as a sum of consecutive naturals, for example, 52291700 + ... + 52293701.

It is an arithmetic number, because the mean of its divisors is an integer number (8785173768).

Almost surely, 2^104689986401 is an apocalyptic number.

104689986401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104689986401 is a deficient number, since it is larger than the sum of its proper divisors (35872793887).

104689986401 is a wasteful number, since it uses less digits than its factorization.

104689986401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104585432.

The product of its (nonzero) digits is 2985984, while the sum is 56.

The spelling of 104689986401 in words is "one hundred four billion, six hundred eighty-nine million, nine hundred eighty-six thousand, four hundred one".