105965001 has 6 divisors (see below), whose sum is σ = 153060570. Its totient is φ = 70643328.

The previous prime is 105964981. The next prime is 105965017. The reversal of 105965001 is 100569501.

105965001 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 650 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105575625 + 389376 = 10275^2 + 624^2 .

It is not a de Polignac number, because 105965001 - 2⁹ = 105964489 is a prime.

It is a super-2 number, since 2×105965001² = 22457162873860002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105965701) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5886936 + ... + 5886953.

It is an arithmetic number, because the mean of its divisors is an integer number (25510095).

Almost surely, 2^105965001 is an apocalyptic number.

It is an amenable number.

105965001 is a deficient number, since it is larger than the sum of its proper divisors (47095569).

105965001 is a wasteful number, since it uses less digits than its factorization.

105965001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11773895 (or 11773892 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105965001 is about 10293.9302989674. The cubic root of 105965001 is about 473.2102562475.

The spelling of 105965001 in words is "one hundred five million, nine hundred sixty-five thousand, one".