105615666 has 48 divisors (see below), whose sum is σ = 247193856. Its totient is φ = 32397408.

The previous prime is 105615641. The next prime is 105615689. The reversal of 105615666 is 666516501.

It is a super-2 number, since 2×105615666² = 22309337809247112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105615666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121951 + ... + 122813.

It is an arithmetic number, because the mean of its divisors is an integer number (5149872).

Almost surely, 2^105615666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105615666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123596928).

105615666 is an abundant number, since it is smaller than the sum of its proper divisors (141578190).

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

105615666 is a wasteful number, since it uses less digits than its factorization.

105615666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105615666 is about 10276.9482824426. The cubic root of 105615666 is about 472.6896727379.

The spelling of 105615666 in words is "one hundred five million, six hundred fifteen thousand, six hundred sixty-six".