105036666 has 64 divisors (see below), whose sum is σ = 251596800. Its totient is φ = 28598976.

The previous prime is 105036661. The next prime is 105036689. The reversal of 105036666 is 666630501.

It is a super-2 number, since 2×105036666² = 22065402408791112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105036661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100575 + ... + 101613.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^105036666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105036666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

105036666 is an abundant number, since it is smaller than the sum of its proper divisors (146560134).

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

105036666 is a wasteful number, since it uses less digits than its factorization.

105036666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163.

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 105036666 is about 10248.7397274006. The cubic root of 105036666 is about 471.8243055988.

The spelling of 105036666 in words is "one hundred five million, thirty-six thousand, six hundred sixty-six".