105913566 has 48 divisors (see below), whose sum is σ = 251287920. Its totient is φ = 31973760.

The previous prime is 105913559. The next prime is 105913637. The reversal of 105913566 is 665319501.

105913566 is a `hidden beast` number, since 1 + 0 + 5 + 91 + 3 + 566 = 666.

It is a super-2 number, since 2×105913566² = 22435366925672712, 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 105913566.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61120 + ... + 62828.

It is an arithmetic number, because the mean of its divisors is an integer number (5235165).

Almost surely, 2^105913566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105913566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125643960).

105913566 is an abundant number, since it is smaller than the sum of its proper divisors (145374354).

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

105913566 is a wasteful number, since it uses less digits than its factorization.

105913566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105913566 is about 10291.4316788288. The cubic root of 105913566 is about 473.1336790491.

The spelling of 105913566 in words is "one hundred five million, nine hundred thirteen thousand, five hundred sixty-six".