104032103200 has 72 divisors (see below), whose sum is σ = 254608868052. Its totient is φ = 41507896320.

The previous prime is 104032103179. The next prime is 104032103221. The reversal of 104032103200 is 2301230401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104032103179) and next prime (104032103221).

It can be written as a sum of positive squares in 6 ways, for example, as 32557150096 + 71474953104 = 180436^2 + 267348^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153822 + ... + 481378.

Almost surely, 2^104032103200 is an apocalyptic number.

104032103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104032103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127304434026).

104032103200 is an abundant number, since it is smaller than the sum of its proper divisors (150576764852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104032103200 is a wasteful number, since it uses less digits than its factorization.

104032103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327974 (or 327961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 104032103200 its reverse (2301230401), we get a palindrome (106333333601).

The spelling of 104032103200 in words is "one hundred four billion, thirty-two million, one hundred three thousand, two hundred".