104249600 has 216 divisors, whose sum is σ = 319354560. Its totient is φ = 32808960.

The previous prime is 104249597. The next prime is 104249617. The reversal of 104249600 is 6942401.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 104249600.

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, 582311 + ... + 582489.

Almost surely, 2^104249600 is an apocalyptic number.

104249600 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 104249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159677280).

104249600 is an abundant number, since it is smaller than the sum of its proper divisors (215104960).

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

104249600 is a wasteful number, since it uses less digits than its factorization.

104249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 104249600 is about 10210.2693402280. The cubic root of 104249600 is about 470.6428505240.

The spelling of 104249600 in words is "one hundred four million, two hundred forty-nine thousand, six hundred".