105096960 has 144 divisors (see below), whose sum is σ = 373070880. Its totient is φ = 28016640.

The previous prime is 105096919. The next prime is 105096989. The reversal of 105096960 is 69690501.

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

It is a super-2 number, since 2×105096960² = 22090742002483200, 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33040 + ... + 36080.

It is an arithmetic number, because the mean of its divisors is an integer number (2590770).

Almost surely, 2^105096960 is an apocalyptic number.

105096960 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 105096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186535440).

105096960 is an abundant number, since it is smaller than the sum of its proper divisors (267973920).

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

105096960 is an equidigital number, since it uses as much as digits as its factorization.

105096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 105096960 is about 10251.6808377944. The cubic root of 105096960 is about 471.9145684697.

The spelling of 105096960 in words is "one hundred five million, ninety-six thousand, nine hundred sixty".