105165064 has 16 divisors (see below), whose sum is σ = 197885520. Its totient is φ = 52395600.

The previous prime is 105165061. The next prime is 105165079. The reversal of 105165064 is 460561501.

It is a super-3 number, since 3×105165064³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105165061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20962 + ... + 25489.

It is an arithmetic number, because the mean of its divisors is an integer number (12367845).

Almost surely, 2^105165064 is an apocalyptic number.

It is an amenable number.

105165064 is a deficient number, since it is larger than the sum of its proper divisors (92720456).

105165064 is a wasteful number, since it uses less digits than its factorization.

105165064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46740 (or 46736 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 105165064 is about 10255.0019015113. The cubic root of 105165064 is about 472.0164817571.

It can be divided in two parts, 10516506 and 4, that multiplied together give a palindrome (42066024).

The spelling of 105165064 in words is "one hundred five million, one hundred sixty-five thousand, sixty-four".