106314157 has 2 divisors, whose sum is σ = 106314158. Its totient is φ = 106314156.

The previous prime is 106314137. The next prime is 106314161. The reversal of 106314157 is 751413601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98128836 + 8185321 = 9906^2 + 2861^2 .

It is a cyclic number.

It is not a de Polignac number, because 106314157 - 2¹¹ = 106312109 is a prime.

It is a super-2 number, since 2×106314157² = 22605399957241298, which contains 22 as substring.

It is equal to p_6103765 and since 106314157 and 6103765 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106314137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53157078 + 53157079.

It is an arithmetic number, because the mean of its divisors is an integer number (53157079).

Almost surely, 2^106314157 is an apocalyptic number.

It is an amenable number.

106314157 is a deficient number, since it is larger than the sum of its proper divisors (1).

106314157 is an equidigital number, since it uses as much as digits as its factorization.

106314157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 106314157 is about 10310.8756660140. The cubic root of 106314157 is about 473.7294310008.

Adding to 106314157 its reverse (751413601), we get a palindrome (857727758).

The spelling of 106314157 in words is "one hundred six million, three hundred fourteen thousand, one hundred fifty-seven".