105705081 has 20 divisors (see below), whose sum is σ = 159913600. Its totient is φ = 69573816.

The previous prime is 105705077. The next prime is 105705091. The reversal of 105705081 is 180507501.

105705081 is a `hidden beast` number, since 10 + 570 + 5 + 0 + 81 = 666.

It is not a de Polignac number, because 105705081 - 2² = 105705077 is a prime.

It is a super-2 number, since 2×105705081² = 22347128298433122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105705091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1861 + ... + 14658.

It is an arithmetic number, because the mean of its divisors is an integer number (7995680).

Almost surely, 2^105705081 is an apocalyptic number.

It is an amenable number.

105705081 is a deficient number, since it is larger than the sum of its proper divisors (54208519).

105705081 is an equidigital number, since it uses as much as digits as its factorization.

105705081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16610 (or 16601 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 105705081 is about 10281.2976321085. The cubic root of 105705081 is about 472.8230292965.

It can be divided in two parts, 10570 and 5081, that added together give a palindrome (15651).

The spelling of 105705081 in words is "one hundred five million, seven hundred five thousand, eighty-one".