104911200 has 180 divisors, whose sum is σ = 382827060. Its totient is φ = 27959040.

The previous prime is 104911187. The next prime is 104911229. The reversal of 104911200 is 2119401.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×104911200² = 22012719770880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63991 + ... + 65609.

It is an arithmetic number, because the mean of its divisors is an integer number (2126817).

Almost surely, 2^104911200 is an apocalyptic number.

104911200 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 104911200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191413530).

104911200 is an abundant number, since it is smaller than the sum of its proper divisors (277915860).

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

104911200 is a wasteful number, since it uses less digits than its factorization.

104911200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 104911200 is about 10242.6168531289. The cubic root of 104911200 is about 471.6363664825.

It can be divided in two parts, 104911 and 200, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 104911200 in words is "one hundred four million, nine hundred eleven thousand, two hundred".