106771360 has 24 divisors (see below), whose sum is σ = 252247716. Its totient is φ = 42708480.

The previous prime is 106771351. The next prime is 106771363. The reversal of 106771360 is 63177601.

It can be written as a sum of positive squares in 2 ways, for example, as 97061904 + 9709456 = 9852^2 + 3116^2 .

It is a super-2 number, since 2×106771360² = 22800246632499200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106771363) 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 3 ways as a sum of consecutive naturals, for example, 333501 + ... + 333820.

Almost surely, 2^106771360 is an apocalyptic number.

106771360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106771360 is an abundant number, since it is smaller than the sum of its proper divisors (145476356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106771360 is an equidigital number, since it uses as much as digits as its factorization.

106771360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667336 (or 667328 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 106771360 is about 10333.0227910326. The cubic root of 106771360 is about 474.4075494534.

It can be divided in two parts, 1067 and 71360, that added together give a palindrome (72427).

The spelling of 106771360 in words is "one hundred six million, seven hundred seventy-one thousand, three hundred sixty".