106505077 has 6 divisors (see below), whose sum is σ = 123893718. Its totient is φ = 91290024.

The previous prime is 106505071. The next prime is 106505083. The reversal of 106505077 is 770505601.

It is an interprime number because it is at equal distance from previous prime (106505071) and next prime (106505083).

It can be written as a sum of positive squares in only one way, i.e., 106316721 + 188356 = 10311^2 + 434^2 .

It is not a de Polignac number, because 106505077 - 2¹¹ = 106503029 is a prime.

It is a super-2 number, since 2×106505077² = 22686662853551858, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106505071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1086738 + ... + 1086835.

It is an arithmetic number, because the mean of its divisors is an integer number (20648953).

Almost surely, 2^106505077 is an apocalyptic number.

It is an amenable number.

106505077 is a deficient number, since it is larger than the sum of its proper divisors (17388641).

106505077 is an equidigital number, since it uses as much as digits as its factorization.

106505077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173587 (or 2173580 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 106505077 is about 10320.1296987974. The cubic root of 106505077 is about 474.0128373979.

The spelling of 106505077 in words is "one hundred six million, five hundred five thousand, seventy-seven".