105666990 has 64 divisors (see below), whose sum is σ = 297948672. Its totient is φ = 23644800.

The previous prime is 105666947. The next prime is 105666997. The reversal of 105666990 is 99666501.

It is a super-2 number, since 2×105666990² = 22331025551320200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105666997) 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, 8026 + ... + 16605.

It is an arithmetic number, because the mean of its divisors is an integer number (4655448).

Almost surely, 2^105666990 is an apocalyptic number.

105666990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105666990 is an abundant number, since it is smaller than the sum of its proper divisors (192281682).

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

105666990 is a wasteful number, since it uses less digits than its factorization.

105666990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24665.

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 105666990 is about 10279.4450239300. The cubic root of 105666990 is about 472.7662282874.

The spelling of 105666990 in words is "one hundred five million, six hundred sixty-six thousand, nine hundred ninety".