104168640 has 112 divisors (see below), whose sum is σ = 348203520. Its totient is φ = 26311680.

The previous prime is 104168627. The next prime is 104168641. The reversal of 104168640 is 46861401.

It is a super-2 number, since 2×104168640² = 21702211118899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104168598 and 104168607.

It is not an unprimeable number, because it can be changed into a prime (104168641) 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 15 ways as a sum of consecutive naturals, for example, 15385 + ... + 21095.

It is an arithmetic number, because the mean of its divisors is an integer number (3108960).

Almost surely, 2^104168640 is an apocalyptic number.

104168640 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 104168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174101760).

104168640 is an abundant number, since it is smaller than the sum of its proper divisors (244034880).

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

104168640 is a wasteful number, since it uses less digits than its factorization.

104168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 104168640 is about 10206.3039343339. The cubic root of 104168640 is about 470.5209855862.

The spelling of 104168640 in words is "one hundred four million, one hundred sixty-eight thousand, six hundred forty".