105115566 has 32 divisors (see below), whose sum is σ = 222985728. Its totient is φ = 32963040.

The previous prime is 105115529. The next prime is 105115601. The reversal of 105115566 is 665511501.

It is a super-2 number, since 2×105115566² = 22098564431000712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2175 + ... + 14661.

It is an arithmetic number, because the mean of its divisors is an integer number (6968304).

Almost surely, 2^105115566 is an apocalyptic number.

105115566 is an abundant number, since it is smaller than the sum of its proper divisors (117870162).

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

105115566 is a wasteful number, since it uses less digits than its factorization.

105115566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12576.

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 105115566 is about 10252.5882585813. The cubic root of 105115566 is about 471.9424155307.

The spelling of 105115566 in words is "one hundred five million, one hundred fifteen thousand, five hundred sixty-six".