106373117 has 2 divisors, whose sum is σ = 106373118. Its totient is φ = 106373116.

The previous prime is 106373101. The next prime is 106373119. The reversal of 106373117 is 711373601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90421081 + 15952036 = 9509^2 + 3994^2 .

It is a cyclic number.

It is not a de Polignac number, because 106373117 - 2⁴ = 106373101 is a prime.

It is a super-2 number, since 2×106373117² = 22630480040591378, which contains 22 as substring.

Together with 106373119, 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 106373117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106373119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53186558 + 53186559.

It is an arithmetic number, because the mean of its divisors is an integer number (53186559).

Almost surely, 2^106373117 is an apocalyptic number.

It is an amenable number.

106373117 is a deficient number, since it is larger than the sum of its proper divisors (1).

106373117 is an equidigital number, since it uses as much as digits as its factorization.

106373117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 106373117 is about 10313.7343867292. The cubic root of 106373117 is about 473.8169888773.

The spelling of 106373117 in words is "one hundred six million, three hundred seventy-three thousand, one hundred seventeen".