105924960 has 144 divisors (see below), whose sum is σ = 382820256. Its totient is φ = 26578944.

The previous prime is 105924947. The next prime is 105924961. The reversal of 105924960 is 69429501.

105924960 is a `hidden beast` number, since 1 + 0 + 592 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105924960² = 22440194302003200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105924961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22317 + ... + 26643.

It is an arithmetic number, because the mean of its divisors is an integer number (2658474).

Almost surely, 2^105924960 is an apocalyptic number.

105924960 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 105924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191410128).

105924960 is an abundant number, since it is smaller than the sum of its proper divisors (276895296).

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

105924960 is a wasteful number, since it uses less digits than its factorization.

105924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 105924960 is about 10291.9852312370. The cubic root of 105924960 is about 473.1506447443.

The spelling of 105924960 in words is "one hundred five million, nine hundred twenty-four thousand, nine hundred sixty".