106634529 has 16 divisors (see below), whose sum is σ = 158145600. Its totient is φ = 71013888.

The previous prime is 106634497. The next prime is 106634543. The reversal of 106634529 is 925436601.

It is a happy number.

106634529 is a `hidden beast` number, since 10 + 6 + 634 + 5 + 2 + 9 = 666.

It is not a de Polignac number, because 106634529 - 2⁵ = 106634497 is a prime.

It is a super-2 number, since 2×106634529² = 22741845550103682, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106634493 and 106634502.

It is not an unprimeable number, because it can be changed into a prime (106634599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36642 + ... + 39444.

It is an arithmetic number, because the mean of its divisors is an integer number (9884100).

Almost surely, 2^106634529 is an apocalyptic number.

It is an amenable number.

106634529 is a deficient number, since it is larger than the sum of its proper divisors (51511071).

106634529 is a wasteful number, since it uses less digits than its factorization.

106634529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106634529 is about 10326.3996145801. The cubic root of 106634529 is about 474.2048065430.

The spelling of 106634529 in words is "one hundred six million, six hundred thirty-four thousand, five hundred twenty-nine".