104535200 has 144 divisors (see below), whose sum is σ = 318354624. Its totient is φ = 32563200.

The previous prime is 104535173. The next prime is 104535229. The reversal of 104535200 is 2535401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 60752 + ... + 62448.

It is an arithmetic number, because the mean of its divisors is an integer number (2210796).

Almost surely, 2^104535200 is an apocalyptic number.

104535200 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 104535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159177312).

104535200 is an abundant number, since it is smaller than the sum of its proper divisors (213819424).

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

104535200 is a wasteful number, since it uses less digits than its factorization.

104535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 104535200 is about 10224.2456934485. The cubic root of 104535200 is about 471.0722463753.

The spelling of 104535200 in words is "one hundred four million, five hundred thirty-five thousand, two hundred".