104167200 has 72 divisors (see below), whose sum is σ = 339072048. Its totient is φ = 27777280.

The previous prime is 104167187. The next prime is 104167201. The reversal of 104167200 is 2761401.

It is not an unprimeable number, because it can be changed into a prime (104167201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19302 + ... + 24101.

It is an arithmetic number, because the mean of its divisors is an integer number (4709334).

Almost surely, 2^104167200 is an apocalyptic number.

104167200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104167200 is an abundant number, since it is smaller than the sum of its proper divisors (234904848).

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

104167200 is a wasteful number, since it uses less digits than its factorization.

104167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43426 (or 43413 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 104167200 is about 10206.2333894537. The cubic root of 104167200 is about 470.5188174566.

The spelling of 104167200 in words is "one hundred four million, one hundred sixty-seven thousand, two hundred".