106771005 has 36 divisors (see below), whose sum is σ = 203434140. Its totient is φ = 51765120.

The previous prime is 106771003. The next prime is 106771057. The reversal of 106771005 is 500177601.

It can be written as a sum of positive squares in 2 ways, for example, as 83557881 + 23213124 = 9141^2 + 4818^2 .

It is not a de Polignac number, because 106771005 - 2¹ = 106771003 is a prime.

It is a super-2 number, since 2×106771005² = 22800095017420050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106771005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106771003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4360 + ... + 15249.

Almost surely, 2^106771005 is an apocalyptic number.

106771005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106771005 is a deficient number, since it is larger than the sum of its proper divisors (96663135).

106771005 is a wasteful number, since it uses less digits than its factorization.

106771005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19642 (or 19628 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 106771005 is about 10333.0056130828. The cubic root of 106771005 is about 474.4070236730.

The spelling of 106771005 in words is "one hundred six million, seven hundred seventy-one thousand, five".