105563766 has 64 divisors (see below), whose sum is σ = 269692416. Its totient is φ = 26745600.

The previous prime is 105563749. The next prime is 105563771. The reversal of 105563766 is 667365501.

It is a super-2 number, since 2×105563766² = 22287417384205512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16156 + ... + 21728.

It is an arithmetic number, because the mean of its divisors is an integer number (4213944).

Almost surely, 2^105563766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105563766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134846208).

105563766 is an abundant number, since it is smaller than the sum of its proper divisors (164128650).

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

105563766 is a wasteful number, since it uses less digits than its factorization.

105563766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637.

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 105563766 is about 10274.4229035017. The cubic root of 105563766 is about 472.6122327945.

The spelling of 105563766 in words is "one hundred five million, five hundred sixty-three thousand, seven hundred sixty-six".