106612029 has 12 divisors (see below), whose sum is σ = 154236732. Its totient is φ = 70963200.

The previous prime is 106612019. The next prime is 106612031. The reversal of 106612029 is 920216601.

It can be written as a sum of positive squares in 2 ways, for example, as 34786404 + 71825625 = 5898^2 + 8475^2 .

It is not a de Polignac number, because 106612029 - 2⁸ = 106611773 is a prime.

It is a super-2 number, since 2×106612029² = 22732249454993682, 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 = 106611993 and 106612011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106612019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3012 + ... + 14909.

It is an arithmetic number, because the mean of its divisors is an integer number (12853061).

Almost surely, 2^106612029 is an apocalyptic number.

It is an amenable number.

106612029 is a deficient number, since it is larger than the sum of its proper divisors (47624703).

106612029 is a wasteful number, since it uses less digits than its factorization.

106612029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18588 (or 18585 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106612029 is about 10325.3101164081. The cubic root of 106612029 is about 474.1714516227.

The spelling of 106612029 in words is "one hundred six million, six hundred twelve thousand, twenty-nine".