105137159 has 2 divisors, whose sum is σ = 105137160. Its totient is φ = 105137158.

The previous prime is 105137057. The next prime is 105137177. The reversal of 105137159 is 951731501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105137159 is a prime.

It is a super-2 number, since 2×105137159² = 22107644405182562, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105137759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52568579 + 52568580.

It is an arithmetic number, because the mean of its divisors is an integer number (52568580).

Almost surely, 2^105137159 is an apocalyptic number.

105137159 is a deficient number, since it is larger than the sum of its proper divisors (1).

105137159 is an equidigital number, since it uses as much as digits as its factorization.

105137159 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725, while the sum is 32.

The square root of 105137159 is about 10253.6412556711. The cubic root of 105137159 is about 471.9747290286.

The spelling of 105137159 in words is "one hundred five million, one hundred thirty-seven thousand, one hundred fifty-nine".