105010065 has 48 divisors (see below), whose sum is σ = 192741120. Its totient is φ = 52778880.

The previous prime is 105010057. The next prime is 105010069. The reversal of 105010065 is 560010501.

It is not a de Polignac number, because 105010065 - 2³ = 105010057 is a prime.

It is a super-2 number, since 2×105010065² = 22054227502608450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105010069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72771 + ... + 74199.

It is an arithmetic number, because the mean of its divisors is an integer number (4015440).

Almost surely, 2^105010065 is an apocalyptic number.

105010065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105010065 is a deficient number, since it is larger than the sum of its proper divisors (87731055).

105010065 is a wasteful number, since it uses less digits than its factorization.

105010065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105010065 is about 10247.4418759025. The cubic root of 105010065 is about 471.7844717056.

Adding to 105010065 its reverse (560010501), we get a palindrome (665020566).

The spelling of 105010065 in words is "one hundred five million, ten thousand, sixty-five".