104695200 has 288 divisors, whose sum is σ = 391849920. Its totient is φ = 26956800.

The previous prime is 104695177. The next prime is 104695207. The reversal of 104695200 is 2596401.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×104695200² = 21922169806080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104695207) 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, 799135 + ... + 799265.

It is an arithmetic number, because the mean of its divisors is an integer number (1360590).

Almost surely, 2^104695200 is an apocalyptic number.

104695200 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 104695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

104695200 is an abundant number, since it is smaller than the sum of its proper divisors (287154720).

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

104695200 is a wasteful number, since it uses less digits than its factorization.

104695200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 104695200 is about 10232.0672398103. The cubic root of 104695200 is about 471.3124625509.

The spelling of 104695200 in words is "one hundred four million, six hundred ninety-five thousand, two hundred".