104961168 has 180 divisors, whose sum is σ = 336295440. Its totient is φ = 30461184.

The previous prime is 104961163. The next prime is 104961209. The reversal of 104961168 is 861169401.

It is a happy number.

104961168 is a `hidden beast` number, since 1 + 0 + 496 + 1 + 168 = 666.

It is a super-2 number, since 2×104961168² = 22033693575848448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104961161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 462271 + ... + 462497.

It is an arithmetic number, because the mean of its divisors is an integer number (1868308).

Almost surely, 2^104961168 is an apocalyptic number.

104961168 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 104961168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168147720).

104961168 is an abundant number, since it is smaller than the sum of its proper divisors (231334272).

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

104961168 is a wasteful number, since it uses less digits than its factorization.

104961168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 104961168 is about 10245.0557831571. The cubic root of 104961168 is about 471.7112329265.

It can be divided in two parts, 10496 and 1168, that added together give a square (11664 = 108²).

The spelling of 104961168 in words is "one hundred four million, nine hundred sixty-one thousand, one hundred sixty-eight".