105184116 has 96 divisors (see below), whose sum is σ = 285465600. Its totient is φ = 33454080.

The previous prime is 105184097. The next prime is 105184141. The reversal of 105184116 is 611481501.

It is a super-2 number, since 2×105184116² = 22127396517402912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105184116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297796 + ... + 298148.

It is an arithmetic number, because the mean of its divisors is an integer number (2973600).

Almost surely, 2^105184116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105184116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142732800).

105184116 is an abundant number, since it is smaller than the sum of its proper divisors (180281484).

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

105184116 is a wasteful number, since it uses less digits than its factorization.

105184116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 105184116 is about 10255.9307719972. The cubic root of 105184116 is about 472.0449839823.

The spelling of 105184116 in words is "one hundred five million, one hundred eighty-four thousand, one hundred sixteen".