106883105 has 32 divisors (see below), whose sum is σ = 151296768. Its totient is φ = 70963200.

The previous prime is 106883089. The next prime is 106883107. The reversal of 106883105 is 501388601.

It is not a de Polignac number, because 106883105 - 2⁴ = 106883089 is a prime.

It is a super-2 number, since 2×106883105² = 22847996268882050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (106883107) 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 31 ways as a sum of consecutive naturals, for example, 302609 + ... + 302961.

It is an arithmetic number, because the mean of its divisors is an integer number (4728024).

Almost surely, 2^106883105 is an apocalyptic number.

It is an amenable number.

106883105 is a deficient number, since it is larger than the sum of its proper divisors (44413663).

106883105 is a wasteful number, since it uses less digits than its factorization.

106883105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 106883105 is about 10338.4285556365. The cubic root of 106883105 is about 474.5729939082.

The spelling of 106883105 in words is "one hundred six million, eight hundred eighty-three thousand, one hundred five".