106082577 has 6 divisors (see below), whose sum is σ = 153230402. Its totient is φ = 70721712.

The previous prime is 106082573. The next prime is 106082593. The reversal of 106082577 is 775280601.

106082577 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 82 + 577 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104837121 + 1245456 = 10239^2 + 1116^2 .

It is not a de Polignac number, because 106082577 - 2² = 106082573 is a prime.

It is a super-2 number, since 2×106082577² = 22507026285921858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106082573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5893468 + ... + 5893485.

Almost surely, 2^106082577 is an apocalyptic number.

It is an amenable number.

106082577 is a deficient number, since it is larger than the sum of its proper divisors (47147825).

106082577 is a wasteful number, since it uses less digits than its factorization.

106082577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11786959 (or 11786956 counting only the distinct ones).

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

The square root of 106082577 is about 10299.6396538908. The cubic root of 106082577 is about 473.3852121387.

The spelling of 106082577 in words is "one hundred six million, eighty-two thousand, five hundred seventy-seven".