106677261 has 24 divisors (see below), whose sum is σ = 164229624. Its totient is φ = 66493440.

The previous prime is 106677257. The next prime is 106677301. The reversal of 106677261 is 162776601.

It can be written as a sum of positive squares in 4 ways, for example, as 14402025 + 92275236 = 3795^2 + 9606^2 .

It is not a de Polignac number, because 106677261 - 2² = 106677257 is a prime.

It is a super-2 number, since 2×106677261² = 22760076028924242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106677661) 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 23 ways as a sum of consecutive naturals, for example, 21801 + ... + 26241.

It is an arithmetic number, because the mean of its divisors is an integer number (6842901).

Almost surely, 2^106677261 is an apocalyptic number.

It is an amenable number.

106677261 is a deficient number, since it is larger than the sum of its proper divisors (57552363).

106677261 is a wasteful number, since it uses less digits than its factorization.

106677261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106677261 is about 10328.4684731087. The cubic root of 106677261 is about 474.2681412928.

The spelling of 106677261 in words is "one hundred six million, six hundred seventy-seven thousand, two hundred sixty-one".