105165066 has 16 divisors (see below), whose sum is σ = 210492864. Its totient is φ = 35027904.

The previous prime is 105165061. The next prime is 105165079. The reversal of 105165066 is 660561501.

It is a super-2 number, since 2×105165066² = 22119382213568712, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a zygodrome 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 7 ways as a sum of consecutive naturals, for example, 2626 + ... + 14738.

It is an arithmetic number, because the mean of its divisors is an integer number (13155804).

Almost surely, 2^105165066 is an apocalyptic number.

105165066 is an abundant number, since it is smaller than the sum of its proper divisors (105327798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105165066 is a wasteful number, since it uses less digits than its factorization.

105165066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13565.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 105165066 is about 10255.0019990247. The cubic root of 105165066 is about 472.0164847494.

It can be divided in two parts, 10516506 and 6, that multiplied together give a palindrome (63099036).

The spelling of 105165066 in words is "one hundred five million, one hundred sixty-five thousand, sixty-six".