104613200 has 120 divisors (see below), whose sum is σ = 267357888. Its totient is φ = 39255040.

The previous prime is 104613199. The next prime is 104613217. The reversal of 104613200 is 2316401.

It is a super-2 number, since 2×104613200² = 21887843228480000, which contains 22 as substring.

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, 763532 + ... + 763668.

Almost surely, 2^104613200 is an apocalyptic number.

104613200 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 104613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133678944).

104613200 is an abundant number, since it is smaller than the sum of its proper divisors (162744688).

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

104613200 is a wasteful number, since it uses less digits than its factorization.

104613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 104613200 is about 10228.0594444890. The cubic root of 104613200 is about 471.1893823579.

Adding to 104613200 its reverse (2316401), we get a palindrome (106929601).

The spelling of 104613200 in words is "one hundred four million, six hundred thirteen thousand, two hundred".