104649600 has 192 divisors, whose sum is σ = 376404480. Its totient is φ = 25344000.

The previous prime is 104649581. The next prime is 104649607. The reversal of 104649600 is 6946401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104649607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105105 + ... + 106095.

It is an arithmetic number, because the mean of its divisors is an integer number (1960440).

Almost surely, 2^104649600 is an apocalyptic number.

104649600 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 104649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188202240).

104649600 is an abundant number, since it is smaller than the sum of its proper divisors (271754880).

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

104649600 is a wasteful number, since it uses less digits than its factorization.

104649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 104649600 is about 10229.8387084059. The cubic root of 104649600 is about 471.2440258913.

The spelling of 104649600 in words is "one hundred four million, six hundred forty-nine thousand, six hundred".