106580977 has 2 divisors, whose sum is σ = 106580978. Its totient is φ = 106580976.

The previous prime is 106580941. The next prime is 106580983. The reversal of 106580977 is 779085601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102090816 + 4490161 = 10104^2 + 2119^2 .

It is a cyclic number.

It is not a de Polignac number, because 106580977 - 2⁷ = 106580849 is a prime.

It is a super-2 number, since 2×106580977² = 22719009316549058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106584977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53290488 + 53290489.

It is an arithmetic number, because the mean of its divisors is an integer number (53290489).

Almost surely, 2^106580977 is an apocalyptic number.

It is an amenable number.

106580977 is a deficient number, since it is larger than the sum of its proper divisors (1).

106580977 is an equidigital number, since it uses as much as digits as its factorization.

106580977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 106580977 is about 10323.8063232511. The cubic root of 106580977 is about 474.1254111593.

The spelling of 106580977 in words is "one hundred six million, five hundred eighty thousand, nine hundred seventy-seven".