106582977 has 24 divisors (see below), whose sum is σ = 159729960. Its totient is φ = 68428800.

The previous prime is 106582967. The next prime is 106583093. The reversal of 106582977 is 779285601.

It can be written as a sum of positive squares in 4 ways, for example, as 83887281 + 22695696 = 9159^2 + 4764^2 .

It is not a de Polignac number, because 106582977 - 2¹⁰ = 106581953 is a prime.

It is a super-2 number, since 2×106582977² = 22719861972365058, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106582937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32049 + ... + 35217.

It is an arithmetic number, because the mean of its divisors is an integer number (6655415).

Almost surely, 2^106582977 is an apocalyptic number.

It is an amenable number.

106582977 is a deficient number, since it is larger than the sum of its proper divisors (53146983).

106582977 is a wasteful number, since it uses less digits than its factorization.

106582977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 106582977 is about 10323.9031862954. The cubic root of 106582977 is about 474.1283768070.

The spelling of 106582977 in words is "one hundred six million, five hundred eighty-two thousand, nine hundred seventy-seven".