104371600 has 60 divisors (see below), whose sum is σ = 251858880. Its totient is φ = 41564800.

The previous prime is 104371583. The next prime is 104371601. The reversal of 104371600 is 6173401.

It is a super-3 number, since 3×104371600³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (104371601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123981 + ... + 124819.

It is an arithmetic number, because the mean of its divisors is an integer number (4197648).

Almost surely, 2^104371600 is an apocalyptic number.

104371600 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 104371600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125929440).

104371600 is an abundant number, since it is smaller than the sum of its proper divisors (147487280).

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

104371600 is a wasteful number, since it uses less digits than its factorization.

104371600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 104371600 is about 10216.2419705095. The cubic root of 104371600 is about 470.8263717525.

The spelling of 104371600 in words is "one hundred four million, three hundred seventy-one thousand, six hundred".