105964085 has 16 divisors (see below), whose sum is σ = 130470912. Its totient is φ = 82579200.

The previous prime is 105964081. The next prime is 105964087. The reversal of 105964085 is 580469501.

It is not a de Polignac number, because 105964085 - 2² = 105964081 is a prime.

It is a super-2 number, since 2×105964085² = 22456774619774450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105964081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55700 + ... + 57570.

It is an arithmetic number, because the mean of its divisors is an integer number (8154432).

Almost surely, 2^105964085 is an apocalyptic number.

It is an amenable number.

105964085 is a deficient number, since it is larger than the sum of its proper divisors (24506827).

105964085 is a wasteful number, since it uses less digits than its factorization.

105964085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164.

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 105964085 is about 10293.8858066330. The cubic root of 105964085 is about 473.2088927097.

The spelling of 105964085 in words is "one hundred five million, nine hundred sixty-four thousand, eighty-five".