105792960 has 336 divisors, whose sum is σ = 423220896. Its totient is φ = 22192128.

The previous prime is 105792937. The next prime is 105792961. The reversal of 105792960 is 69297501.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×105792960² = 22384300771123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105792961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611434 + ... + 611606.

It is an arithmetic number, because the mean of its divisors is an integer number (1259586).

Almost surely, 2^105792960 is an apocalyptic number.

105792960 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 105792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211610448).

105792960 is an abundant number, since it is smaller than the sum of its proper divisors (317427936).

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

105792960 is a wasteful number, since it uses less digits than its factorization.

105792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 105792960 is about 10285.5704751851. The cubic root of 105792960 is about 472.9540217560.

The spelling of 105792960 in words is "one hundred five million, seven hundred ninety-two thousand, nine hundred sixty".