105666740 has 24 divisors (see below), whose sum is σ = 222136992. Its totient is φ = 42221600.

The previous prime is 105666731. The next prime is 105666751. The reversal of 105666740 is 47666501.

It is a super-2 number, since 2×105666740² = 22330919884455200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105666740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21515 + ... + 25965.

It is an arithmetic number, because the mean of its divisors is an integer number (9255708).

Almost surely, 2^105666740 is an apocalyptic number.

105666740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105666740 is an abundant number, since it is smaller than the sum of its proper divisors (116470252).

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

105666740 is a wasteful number, since it uses less digits than its factorization.

105666740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 105666740 is about 10279.4328637333. The cubic root of 105666740 is about 472.7658554442.

The spelling of 105666740 in words is "one hundred five million, six hundred sixty-six thousand, seven hundred forty".