105506964 has 54 divisors (see below), whose sum is σ = 283337054. Its totient is φ = 33096960.

The previous prime is 105506953. The next prime is 105506969. The reversal of 105506964 is 469605501.

105506964 is a `hidden beast` number, since 10 + 550 + 6 + 96 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25583364 + 79923600 = 5058^2 + 8940^2 .

It is a super-2 number, since 2×105506964² = 22263438904994592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105506969) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5334 + ... + 15474.

Almost surely, 2^105506964 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 105506964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141668527).

105506964 is an abundant number, since it is smaller than the sum of its proper divisors (177830090).

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

105506964 is a wasteful number, since it uses less digits than its factorization.

105506964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10185 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105506964 is about 10271.6582887088. The cubic root of 105506964 is about 472.5274494845.

The spelling of 105506964 in words is "one hundred five million, five hundred six thousand, nine hundred sixty-four".