104645600 has 36 divisors (see below), whose sum is σ = 255468024. Its totient is φ = 41857920.

The previous prime is 104645581. The next prime is 104645609. The reversal of 104645600 is 6546401.

It is a happy number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 104645600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104645609) 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 5 ways as a sum of consecutive naturals, for example, 64604 + ... + 66203.

It is an arithmetic number, because the mean of its divisors is an integer number (7096334).

Almost surely, 2^104645600 is an apocalyptic number.

104645600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104645600 is an abundant number, since it is smaller than the sum of its proper divisors (150822424).

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

104645600 is a wasteful number, since it uses less digits than its factorization.

104645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130827 (or 130814 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 104645600 is about 10229.6432000339. The cubic root of 104645600 is about 471.2380217272.

The spelling of 104645600 in words is "one hundred four million, six hundred forty-five thousand, six hundred".