104719200 has 72 divisors (see below), whose sum is σ = 340868808. Its totient is φ = 27924480.

The previous prime is 104719193. The next prime is 104719211. The reversal of 104719200 is 2917401.

It is a super-2 number, since 2×104719200² = 21932221697280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19417 + ... + 24216.

It is an arithmetic number, because the mean of its divisors is an integer number (4734289).

Almost surely, 2^104719200 is an apocalyptic number.

104719200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104719200 is an abundant number, since it is smaller than the sum of its proper divisors (236149608).

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

104719200 is a wasteful number, since it uses less digits than its factorization.

104719200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43656 (or 43643 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 104719200 is about 10233.2399561429. The cubic root of 104719200 is about 471.3484738640.

The spelling of 104719200 in words is "one hundred four million, seven hundred nineteen thousand, two hundred".