105160320 has 96 divisors (see below), whose sum is σ = 363151620. Its totient is φ = 28041216.

The previous prime is 105160313. The next prime is 105160379. The reversal of 105160320 is 23061501.

105160320 is a `hidden beast` number, since 10 + 51 + 603 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102090816 + 3069504 = 10104^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105160320² = 22117385805004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105160293 and 105160302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3369 + ... + 14888.

Almost surely, 2^105160320 is an apocalyptic number.

105160320 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 105160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181575810).

105160320 is an abundant number, since it is smaller than the sum of its proper divisors (257991300).

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

105160320 is a wasteful number, since it uses less digits than its factorization.

105160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18282 (or 18267 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105160320 is about 10254.7705971416. The cubic root of 105160320 is about 472.0093840900.

The spelling of 105160320 in words is "one hundred five million, one hundred sixty thousand, three hundred twenty".