106335075 has 48 divisors (see below), whose sum is σ = 219200256. Its totient is φ = 44188800.

The previous prime is 106335071. The next prime is 106335091. The reversal of 106335075 is 570533601.

It is not a de Polignac number, because 106335075 - 2² = 106335071 is a prime.

It is a super-2 number, since 2×106335075² = 22614296350511250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106335071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3432 + ... + 14981.

It is an arithmetic number, because the mean of its divisors is an integer number (4566672).

Almost surely, 2^106335075 is an apocalyptic number.

106335075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106335075 is an abundant number, since it is smaller than the sum of its proper divisors (112865181).

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

106335075 is a wasteful number, since it uses less digits than its factorization.

106335075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18444 (or 18439 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 106335075 is about 10311.8899819577. The cubic root of 106335075 is about 473.7604987428.

Adding to 106335075 its reverse (570533601), we get a palindrome (676868676).

The spelling of 106335075 in words is "one hundred six million, three hundred thirty-five thousand, seventy-five".