105456960 has 168 divisors, whose sum is σ = 414625536. Its totient is φ = 24099840.

The previous prime is 105456959. The next prime is 105456971. The reversal of 105456960 is 69654501.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×105456960² = 22242340824883200, 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 23 ways as a sum of consecutive naturals, for example, 17545 + ... + 22775.

Almost surely, 2^105456960 is an apocalyptic number.

105456960 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 105456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207312768).

105456960 is an abundant number, since it is smaller than the sum of its proper divisors (309168576).

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

105456960 is a wasteful number, since it uses less digits than its factorization.

105456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105456960 is about 10269.2239239389. The cubic root of 105456960 is about 472.4527877577.

The spelling of 105456960 in words is "one hundred five million, four hundred fifty-six thousand, nine hundred sixty".