104229922401 has 48 divisors (see below), whose sum is σ = 164727313920. Its totient is φ = 62983008000.

The previous prime is 104229922259. The next prime is 104229922403.

104229922401 is a `hidden beast` number, since 1 + 0 + 4 + 229 + 9 + 22 + 401 = 666.

104229922401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104229922401 - 2⁹ = 104229921889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104229922403) 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, 92320005 + ... + 92321133.

It is an arithmetic number, because the mean of its divisors is an integer number (3431819040).

Almost surely, 2^104229922401 is an apocalyptic number.

104229922401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104229922401 is a deficient number, since it is larger than the sum of its proper divisors (60497391519).

104229922401 is a wasteful number, since it uses less digits than its factorization.

104229922401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 104229922401 in words is "one hundred four billion, two hundred twenty-nine million, nine hundred twenty-two thousand, four hundred one".