105966144 has 70 divisors (see below), whose sum is σ = 314132214. Its totient is φ = 35320320.

The previous prime is 105966139. The next prime is 105966163. The reversal of 105966144 is 441669501.

105966144 is a `hidden beast` number, since 1 + 0 + 596 + 61 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 4359744 = 10080^2 + 2088^2 .

It is a super-2 number, since 2×105966144² = 22457647348457472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105966099 and 105966108.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5037 + ... + 15404.

Almost surely, 2^105966144 is an apocalyptic number.

It is an amenable number.

105966144 is an abundant number, since it is smaller than the sum of its proper divisors (208166070).

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

105966144 is an equidigital number, since it uses as much as digits as its factorization.

105966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20465 (or 20446 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105966144 is about 10293.9858169710. The cubic root of 105966144 is about 473.2119576815.

The spelling of 105966144 in words is "one hundred five million, nine hundred sixty-six thousand, one hundred forty-four".