106605135 has 72 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 44972928.

The previous prime is 106605133. The next prime is 106605137. The reversal of 106605135 is 531506601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106605133) and next prime (106605137).

It is not a de Polignac number, because 106605135 - 2¹ = 106605133 is a prime.

It is a super-2 number, since 2×106605135² = 22729309616736450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106605099 and 106605108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106605133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26806 + ... + 30524.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2^106605135 is an apocalyptic number.

106605135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106605135 is an abundant number, since it is smaller than the sum of its proper divisors (124942545).

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

106605135 is a wasteful number, since it uses less digits than its factorization.

106605135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 106605135 is about 10324.9762711592. The cubic root of 106605135 is about 474.1612307358.

The spelling of 106605135 in words is "one hundred six million, six hundred five thousand, one hundred thirty-five".