106509629 has 2 divisors, whose sum is σ = 106509630. Its totient is φ = 106509628.

The previous prime is 106509587. The next prime is 106509673. The reversal of 106509629 is 926905601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102616900 + 3892729 = 10130^2 + 1973^2 .

It is a cyclic number.

It is not a de Polignac number, because 106509629 - 2¹² = 106505533 is a prime.

It is a super-2 number, since 2×106509629² = 22688602139435282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106509592 and 106509601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106509679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53254814 + 53254815.

It is an arithmetic number, because the mean of its divisors is an integer number (53254815).

Almost surely, 2^106509629 is an apocalyptic number.

It is an amenable number.

106509629 is a deficient number, since it is larger than the sum of its proper divisors (1).

106509629 is an equidigital number, since it uses as much as digits as its factorization.

106509629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 106509629 is about 10320.3502363050. The cubic root of 106509629 is about 474.0195903646.

The spelling of 106509629 in words is "one hundred six million, five hundred nine thousand, six hundred twenty-nine".