104917200 has 240 divisors, whose sum is σ = 368101440. Its totient is φ = 25436160.

The previous prime is 104917129. The next prime is 104917201. The reversal of 104917200 is 2719401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×104917200² = 22015237711680000, 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 not an unprimeable number, because it can be changed into a prime (104917201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754731 + ... + 754869.

It is an arithmetic number, because the mean of its divisors is an integer number (1533756).

Almost surely, 2^104917200 is an apocalyptic number.

104917200 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 104917200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184050720).

104917200 is an abundant number, since it is smaller than the sum of its proper divisors (263184240).

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

104917200 is a wasteful number, since it uses less digits than its factorization.

104917200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

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

The square root of 104917200 is about 10242.9097428416. The cubic root of 104917200 is about 471.6453574649.

The spelling of 104917200 in words is "one hundred four million, nine hundred seventeen thousand, two hundred".