106526133 has 24 divisors (see below), whose sum is σ = 183500928. Its totient is φ = 58224672.

The previous prime is 106526113. The next prime is 106526143. The reversal of 106526133 is 331625601.

106526133 is a `hidden beast` number, since 1 + 0 + 6 + 526 + 133 = 666.

It is not a de Polignac number, because 106526133 - 2¹⁴ = 106509749 is a prime.

It is a super-2 number, since 2×106526133² = 22695634023867378, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106526097 and 106526106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106526113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35310 + ... + 38207.

It is an arithmetic number, because the mean of its divisors is an integer number (7645872).

Almost surely, 2^106526133 is an apocalyptic number.

It is an amenable number.

106526133 is a deficient number, since it is larger than the sum of its proper divisors (76974795).

106526133 is a wasteful number, since it uses less digits than its factorization.

106526133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73553 (or 73550 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106526133 is about 10321.1497905999. The cubic root of 106526133 is about 474.0440727059.

The spelling of 106526133 in words is "one hundred six million, five hundred twenty-six thousand, one hundred thirty-three".