106833985 has 16 divisors (see below), whose sum is σ = 132014736. Its totient is φ = 82937088.

The previous prime is 106833971. The next prime is 106834033. The reversal of 106833985 is 589338601.

It can be written as a sum of positive squares in 8 ways, for example, as 6012304 + 100821681 = 2452^2 + 10041^2 .

It is a cyclic number.

It is not a de Polignac number, because 106833985 - 2¹⁷ = 106702913 is a prime.

It is a super-2 number, since 2×106833985² = 22827000701960450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124819 + ... + 125671.

It is an arithmetic number, because the mean of its divisors is an integer number (8250921).

Almost surely, 2^106833985 is an apocalyptic number.

It is an amenable number.

106833985 is a deficient number, since it is larger than the sum of its proper divisors (25180751).

106833985 is an equidigital number, since it uses as much as digits as its factorization.

106833985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572.

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 106833985 is about 10336.0526798193. The cubic root of 106833985 is about 474.5002833291.

It can be divided in two parts, 1068 and 33985, that added together give a palindrome (35053).

The spelling of 106833985 in words is "one hundred six million, eight hundred thirty-three thousand, nine hundred eighty-five".