105099329 has 2 divisors, whose sum is σ = 105099330. Its totient is φ = 105099328.

The previous prime is 105099283. The next prime is 105099347. The reversal of 105099329 is 923990501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69338929 + 35760400 = 8327^2 + 5980^2 .

It is a cyclic number.

It is not a de Polignac number, because 105099329 - 2¹⁶ = 105033793 is a prime.

It is a super-2 number, since 2×105099329² = 22091737912500482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105099292 and 105099301.

It is not a weakly prime, because it can be changed into another prime (105089329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52549664 + 52549665.

It is an arithmetic number, because the mean of its divisors is an integer number (52549665).

Almost surely, 2^105099329 is an apocalyptic number.

It is an amenable number.

105099329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105099329 is an equidigital number, since it uses as much as digits as its factorization.

105099329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21870, while the sum is 38.

The square root of 105099329 is about 10251.7963791718. The cubic root of 105099329 is about 471.9181142660.

The spelling of 105099329 in words is "one hundred five million, ninety-nine thousand, three hundred twenty-nine".