104557200 has 180 divisors, whose sum is σ = 369531408. Its totient is φ = 25062400.

The previous prime is 104557183. The next prime is 104557207. The reversal of 104557200 is 2755401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (104557207) 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 35 ways as a sum of consecutive naturals, for example, 1174756 + ... + 1174844.

Almost surely, 2^104557200 is an apocalyptic number.

104557200 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 104557200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184765704).

104557200 is an abundant number, since it is smaller than the sum of its proper divisors (264974208).

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

104557200 is a wasteful number, since it uses less digits than its factorization.

104557200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 104557200 is about 10225.3215108377. The cubic root of 104557200 is about 471.1052906273.

The spelling of 104557200 in words is "one hundred four million, five hundred fifty-seven thousand, two hundred".