106972673 has 2 divisors, whose sum is σ = 106972674. Its totient is φ = 106972672.

The previous prime is 106972651. The next prime is 106972681. The reversal of 106972673 is 376279601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76247824 + 30724849 = 8732^2 + 5543^2 .

It is an emirp because it is prime and its reverse (376279601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106972673 - 2⁸ = 106972417 is a prime.

It is a super-2 number, since 2×106972673² = 22886305537529858, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106972673.

It is not a weakly prime, because it can be changed into another prime (106972633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53486336 + 53486337.

It is an arithmetic number, because the mean of its divisors is an integer number (53486337).

Almost surely, 2^106972673 is an apocalyptic number.

It is an amenable number.

106972673 is a deficient number, since it is larger than the sum of its proper divisors (1).

106972673 is an equidigital number, since it uses as much as digits as its factorization.

106972673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 95256, while the sum is 41.

The square root of 106972673 is about 10342.7594480390. The cubic root of 106972673 is about 474.7055208901.

The spelling of 106972673 in words is "one hundred six million, nine hundred seventy-two thousand, six hundred seventy-three".