105198337 has 2 divisors, whose sum is σ = 105198338. Its totient is φ = 105198336.

The previous prime is 105198319. The next prime is 105198349. The reversal of 105198337 is 733891501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96648561 + 8549776 = 9831^2 + 2924^2 .

It is a cyclic number.

It is not a de Polignac number, because 105198337 - 2⁷ = 105198209 is a prime.

It is a super-2 number, since 2×105198337² = 22133380215131138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105198296 and 105198305.

It is not a weakly prime, because it can be changed into another prime (105198377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52599168 + 52599169.

It is an arithmetic number, because the mean of its divisors is an integer number (52599169).

Almost surely, 2^105198337 is an apocalyptic number.

It is an amenable number.

105198337 is a deficient number, since it is larger than the sum of its proper divisors (1).

105198337 is an equidigital number, since it uses as much as digits as its factorization.

105198337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 105198337 is about 10256.6240547268. The cubic root of 105198337 is about 472.0662566784.

The spelling of 105198337 in words is "one hundred five million, one hundred ninety-eight thousand, three hundred thirty-seven".