104167728 has 320 divisors, whose sum is σ = 376960000. Its totient is φ = 27433728.

The previous prime is 104167727. The next prime is 104167729. The reversal of 104167728 is 827761401.

104167728 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (104167727) and next prime (104167729).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 104167692 and 104167701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104167727) 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 63 ways as a sum of consecutive naturals, for example, 2815326 + ... + 2815362.

It is an arithmetic number, because the mean of its divisors is an integer number (1178000).

Almost surely, 2^104167728 is an apocalyptic number.

104167728 is a gapful number since it is divisible by the number (18) 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 104167728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188480000).

104167728 is an abundant number, since it is smaller than the sum of its proper divisors (272792272).

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

104167728 is a wasteful number, since it uses less digits than its factorization.

104167728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 104167728 is about 10206.2592559664. The cubic root of 104167728 is about 470.5196124397.

The spelling of 104167728 in words is "one hundred four million, one hundred sixty-seven thousand, seven hundred twenty-eight".