105147337 has 2 divisors, whose sum is σ = 105147338. Its totient is φ = 105147336.

The previous prime is 105147331. The next prime is 105147353. The reversal of 105147337 is 733741501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98485776 + 6661561 = 9924^2 + 2581^2 .

It is a cyclic number.

It is not a de Polignac number, because 105147337 - 2⁷ = 105147209 is a prime.

It is a super-2 number, since 2×105147337² = 22111924956383138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105147299 and 105147308.

It is not a weakly prime, because it can be changed into another prime (105147331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52573668 + 52573669.

It is an arithmetic number, because the mean of its divisors is an integer number (52573669).

Almost surely, 2^105147337 is an apocalyptic number.

It is an amenable number.

105147337 is a deficient number, since it is larger than the sum of its proper divisors (1).

105147337 is an equidigital number, since it uses as much as digits as its factorization.

105147337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 105147337 is about 10254.1375551530. The cubic root of 105147337 is about 471.9899586703.

Adding to 105147337 its reverse (733741501), we get a palindrome (838888838).

The spelling of 105147337 in words is "one hundred five million, one hundred forty-seven thousand, three hundred thirty-seven".