106500629 has 2 divisors, whose sum is σ = 106500630. Its totient is φ = 106500628.

The previous prime is 106500623. The next prime is 106500677. The reversal of 106500629 is 926005601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85063729 + 21436900 = 9223^2 + 4630^2 .

It is a cyclic number.

It is not a de Polignac number, because 106500629 - 2⁴ = 106500613 is a prime.

It is a super-2 number, since 2×106500629² = 22684767954791282, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106500623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53250314 + 53250315.

It is an arithmetic number, because the mean of its divisors is an integer number (53250315).

Almost surely, 2^106500629 is an apocalyptic number.

It is an amenable number.

106500629 is a deficient number, since it is larger than the sum of its proper divisors (1).

106500629 is an equidigital number, since it uses as much as digits as its factorization.

106500629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 106500629 is about 10319.9141953797. The cubic root of 106500629 is about 474.0062385311.

The spelling of 106500629 in words is "one hundred six million, five hundred thousand, six hundred twenty-nine".