106688241 has 27 divisors (see below), whose sum is σ = 169931307. Its totient is φ = 64452960.

The previous prime is 106688213. The next prime is 106688269. The reversal of 106688241 is 142886601.

The square root of 106688241 is 10329.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (106688213) and next prime (106688269).

It can be written as a sum of positive squares in only one way, i.e., 680625 + 106007616 = 825^2 + 10296^2 .

It is not a de Polignac number, because 106688241 - 2⁹ = 106687729 is a prime.

It is a super-2 number, since 2×106688241² = 22764761535348162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106688196 and 106688205.

It is not an unprimeable number, because it can be changed into a prime (106688291) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 340701 + ... + 341013.

Almost surely, 2^106688241 is an apocalyptic number.

106688241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106688241 is the 10329-th square number.

106688241 is the 5165-th centered octagonal number.

It is an amenable number.

106688241 is a deficient number, since it is larger than the sum of its proper divisors (63243066).

106688241 is an equidigital number, since it uses as much as digits as its factorization.

106688241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The cubic root of 106688241 is about 474.2844124440.

Multiplying 106688241 by its sum of digits (36), we get a square (3840776676 = 61974²).

It can be divided in two parts, 106688 and 241, that added together give a square (106929 = 327²).

The spelling of 106688241 in words is "one hundred six million, six hundred eighty-eight thousand, two hundred forty-one".