104386801 has 8 divisors (see below), whose sum is σ = 105558984. Its totient is φ = 103219200.

The previous prime is 104386787. The next prime is 104386823. The reversal of 104386801 is 108683401.

104386801 = 7224² + 7225².

It can be written as a sum of positive squares in 4 ways, for example, as 52186176 + 52200625 = 7224^2 + 7225^2 .

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

It is a 4-Lehmer number, since φ(104386801) divides (104386801-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 104386801 - 2⁵ = 104386769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104386831) 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 7 ways as a sum of consecutive naturals, for example, 64401 + ... + 66001.

It is an arithmetic number, because the mean of its divisors is an integer number (13194873).

Almost surely, 2^104386801 is an apocalyptic number.

104386801 is the 7225-th centered square number.

It is an amenable number.

104386801 is a deficient number, since it is larger than the sum of its proper divisors (1172183).

104386801 is a wasteful number, since it uses less digits than its factorization.

104386801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 104386801 is about 10216.9859058335. The cubic root of 104386801 is about 470.8492281753.

The spelling of 104386801 in words is "one hundred four million, three hundred eighty-six thousand, eight hundred one".