105776082 has 24 divisors (see below), whose sum is σ = 229482396. Its totient is φ = 35212416.

The previous prime is 105776071. The next prime is 105776093. The reversal of 105776082 is 280677501.

105776082 is a `hidden beast` number, since 1 + 0 + 577 + 6 + 0 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (105776071) and next prime (105776093).

It can be written as a sum of positive squares in 2 ways, for example, as 104837121 + 938961 = 10239^2 + 969^2 .

It is a super-2 number, since 2×105776082² = 22377159046541448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11998 + ... + 18854.

Almost surely, 2^105776082 is an apocalyptic number.

105776082 is an abundant number, since it is smaller than the sum of its proper divisors (123706314).

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

105776082 is a wasteful number, since it uses less digits than its factorization.

105776082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7722 (or 7719 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 105776082 is about 10284.7499726537. The cubic root of 105776082 is about 472.9288690347.

The spelling of 105776082 in words is "one hundred five million, seven hundred seventy-six thousand, eighty-two".