106973729 has 2 divisors, whose sum is σ = 106973730. Its totient is φ = 106973728.

The previous prime is 106973719. The next prime is 106973731. The reversal of 106973729 is 927379601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98406400 + 8567329 = 9920^2 + 2927^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106973729 is a prime.

It is a super-2 number, since 2×106973729² = 22886757392330882, which contains 22 as substring.

Together with 106973731, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106973729.

It is not a weakly prime, because it can be changed into another prime (106973719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53486864 + 53486865.

It is an arithmetic number, because the mean of its divisors is an integer number (53486865).

Almost surely, 2^106973729 is an apocalyptic number.

It is an amenable number.

106973729 is a deficient number, since it is larger than the sum of its proper divisors (1).

106973729 is an equidigital number, since it uses as much as digits as its factorization.

106973729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 142884, while the sum is 44.

The square root of 106973729 is about 10342.8104981190. The cubic root of 106973729 is about 474.7070829319.

The spelling of 106973729 in words is "one hundred six million, nine hundred seventy-three thousand, seven hundred twenty-nine".