106540135 has 24 divisors (see below), whose sum is σ = 140851440. Its totient is φ = 77306112.

The previous prime is 106540103. The next prime is 106540141. The reversal of 106540135 is 531045601.

106540135 = 1130² + 1131² + ... + 1207².

It is not a de Polignac number, because 106540135 - 2⁵ = 106540103 is a prime.

It is a super-2 number, since 2×106540135² = 22701600731636450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48787 + ... + 50923.

It is an arithmetic number, because the mean of its divisors is an integer number (5868810).

Almost surely, 2^106540135 is an apocalyptic number.

106540135 is a deficient number, since it is larger than the sum of its proper divisors (34311305).

106540135 is a wasteful number, since it uses less digits than its factorization.

106540135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 106540135 is about 10321.8280842107. The cubic root of 106540135 is about 474.0648415511.

Adding to 106540135 its reverse (531045601), we get a palindrome (637585736).

The spelling of 106540135 in words is "one hundred six million, five hundred forty thousand, one hundred thirty-five".