106371135 has 72 divisors (see below), whose sum is σ = 203490144. Its totient is φ = 51367680.

The previous prime is 106371131. The next prime is 106371169. The reversal of 106371135 is 531173601.

106371135 is a `hidden beast` number, since 10 + 637 + 1 + 13 + 5 = 666.

It is not a de Polignac number, because 106371135 - 2² = 106371131 is a prime.

It is a super-2 number, since 2×106371135² = 22629636722376450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106371099 and 106371108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106371131) 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, 539857 + ... + 540053.

It is an arithmetic number, because the mean of its divisors is an integer number (2826252).

Almost surely, 2^106371135 is an apocalyptic number.

106371135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106371135 is a deficient number, since it is larger than the sum of its proper divisors (97119009).

106371135 is a wasteful number, since it uses less digits than its factorization.

106371135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 106371135 is about 10313.6383008132. The cubic root of 106371135 is about 473.8140460564.

The spelling of 106371135 in words is "one hundred six million, three hundred seventy-one thousand, one hundred thirty-five".