104627200 has 132 divisors (see below), whose sum is σ = 267534712. Its totient is φ = 40550400.

The previous prime is 104627191. The next prime is 104627219. The reversal of 104627200 is 2726401.

It is a zygodrome in base 2.

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 11 ways as a sum of consecutive naturals, for example, 1561567 + ... + 1561633.

Almost surely, 2^104627200 is an apocalyptic number.

104627200 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 104627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133767356).

104627200 is an abundant number, since it is smaller than the sum of its proper divisors (162907512).

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

104627200 is an equidigital number, since it uses as much as digits as its factorization.

104627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 104627200 is about 10228.7438133918. The cubic root of 104627200 is about 471.2104006014.

The spelling of 104627200 in words is "one hundred four million, six hundred twenty-seven thousand, two hundred".