105506160 has 80 divisors (see below), whose sum is σ = 332657280. Its totient is φ = 27654400.

The previous prime is 105506123. The next prime is 105506239. The reversal of 105506160 is 61605501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105506160² = 22263099595891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105506160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10435 + ... + 17885.

It is an arithmetic number, because the mean of its divisors is an integer number (4158216).

Almost surely, 2^105506160 is an apocalyptic number.

105506160 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 105506160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166328640).

105506160 is an abundant number, since it is smaller than the sum of its proper divisors (227151120).

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

105506160 is a wasteful number, since it uses less digits than its factorization.

105506160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105506160 is about 10271.6191518183. The cubic root of 105506160 is about 472.5262492066.

The spelling of 105506160 in words is "one hundred five million, five hundred six thousand, one hundred sixty".