105996564 has 144 divisors (see below), whose sum is σ = 302754816. Its totient is φ = 31104000.

The previous prime is 105996563. The next prime is 105996587. The reversal of 105996564 is 465699501.

It is a happy number.

105996564 is a `hidden beast` number, since 1 + 0 + 599 + 6 + 56 + 4 = 666.

It is a super-2 number, since 2×105996564² = 22470543159612192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105996563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701889 + ... + 702039.

It is an arithmetic number, because the mean of its divisors is an integer number (2102464).

Almost surely, 2^105996564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105996564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151377408).

105996564 is an abundant number, since it is smaller than the sum of its proper divisors (196758252).

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

105996564 is a wasteful number, since it uses less digits than its factorization.

105996564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 105996564 is about 10295.4632727236. The cubic root of 105996564 is about 473.2572354465.

The spelling of 105996564 in words is "one hundred five million, nine hundred ninety-six thousand, five hundred sixty-four".