106524135 has 12 divisors (see below), whose sum is σ = 184641912. Its totient is φ = 56812848.

The previous prime is 106524113. The next prime is 106524151. The reversal of 106524135 is 531425601.

106524135 is a `hidden beast` number, since 1 + 0 + 6 + 524 + 135 = 666.

It is not a de Polignac number, because 106524135 - 2¹² = 106520039 is a prime.

It is a super-2 number, since 2×106524135² = 22694782674996450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106524099 and 106524108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1183557 + ... + 1183646.

It is an arithmetic number, because the mean of its divisors is an integer number (15386826).

Almost surely, 2^106524135 is an apocalyptic number.

106524135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106524135 is a deficient number, since it is larger than the sum of its proper divisors (78117777).

106524135 is a wasteful number, since it uses less digits than its factorization.

106524135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367214 (or 2367211 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106524135 is about 10321.0529986044. The cubic root of 106524135 is about 474.0411089700.

Adding to 106524135 its reverse (531425601), we get a palindrome (637949736).

It can be divided in two parts, 1065 and 24135, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 106524135 in words is "one hundred six million, five hundred twenty-four thousand, one hundred thirty-five".