105999164 has 12 divisors (see below), whose sum is σ = 188643000. Its totient is φ = 52101168.

The previous prime is 105999163. The next prime is 105999167. The reversal of 105999164 is 461999501.

It is a super-2 number, since 2×105999164² = 22471645537397792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105999163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224339 + ... + 224810.

It is an arithmetic number, because the mean of its divisors is an integer number (15720250).

Almost surely, 2^105999164 is an apocalyptic number.

It is an amenable number.

105999164 is a deficient number, since it is larger than the sum of its proper divisors (82643836).

105999164 is a wasteful number, since it uses less digits than its factorization.

105999164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449212 (or 449210 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 44.

The square root of 105999164 is about 10295.5895411579. The cubic root of 105999164 is about 473.2611049391.

The spelling of 105999164 in words is "one hundred five million, nine hundred ninety-nine thousand, one hundred sixty-four".