104752257401 has 8 divisors (see below), whose sum is σ = 114301434144. Its totient is φ = 95207454720.

The previous prime is 104752257353. The next prime is 104752257419.

It is a happy number.

104752257401 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 104752257401 - 2¹⁰ = 104752256377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104752257431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1043336 + ... + 1139321.

It is an arithmetic number, because the mean of its divisors is an integer number (14287679268).

Almost surely, 2^104752257401 is an apocalyptic number.

104752257401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104752257401 is a deficient number, since it is larger than the sum of its proper divisors (9549176743).

104752257401 is a wasteful number, since it uses less digits than its factorization.

104752257401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187031.

The product of its (nonzero) digits is 78400, while the sum is 38.

The spelling of 104752257401 in words is "one hundred four billion, seven hundred fifty-two million, two hundred fifty-seven thousand, four hundred one".