106689135 has 64 divisors (see below), whose sum is σ = 204595200. Its totient is φ = 46448640.

The previous prime is 106689133. The next prime is 106689137. The reversal of 106689135 is 531986601.

It is an interprime number because it is at equal distance from previous prime (106689133) and next prime (106689137).

It is not a de Polignac number, because 106689135 - 2¹ = 106689133 is a prime.

It is a super-2 number, since 2×106689135² = 22765143054096450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106689093 and 106689102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106689131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237391 + ... + 237839.

It is an arithmetic number, because the mean of its divisors is an integer number (3196800).

Almost surely, 2^106689135 is an apocalyptic number.

106689135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106689135 is a deficient number, since it is larger than the sum of its proper divisors (97906065).

106689135 is a wasteful number, since it uses less digits than its factorization.

106689135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 106689135 is about 10329.0432761219. The cubic root of 106689135 is about 474.2857372044.

The spelling of 106689135 in words is "one hundred six million, six hundred eighty-nine thousand, one hundred thirty-five".