104433545334401 has 32 divisors (see below), whose sum is σ = 114557702608800. Its totient is φ = 94761718087680.

The previous prime is 104433545334373. The next prime is 104433545334487.

104433545334401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 27006480794176 + 77427064540225 = 5196776^2 + 8799265^2 .

It is not a de Polignac number, because 104433545334401 - 2²⁶ = 104433478225537 is a prime.

It is a super-2 number, since 2×104433545334401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104433505334401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2976229865 + ... + 2976264953.

It is an arithmetic number, because the mean of its divisors is an integer number (3579928206525).

Almost surely, 2^{104433545334401} is an apocalyptic number.

It is an amenable number.

104433545334401 is a deficient number, since it is larger than the sum of its proper divisors (10124157274399).

104433545334401 is a wasteful number, since it uses less digits than its factorization.

104433545334401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43829.

The product of its (nonzero) digits is 2073600, while the sum is 44.

The spelling of 104433545334401 in words is "one hundred four trillion, four hundred thirty-three billion, five hundred forty-five million, three hundred thirty-four thousand, four hundred one".