105198329 has 16 divisors (see below), whose sum is σ = 114147072. Its totient is φ = 96588288.

The previous prime is 105198319. The next prime is 105198337. The reversal of 105198329 is 923891501.

It is a de Polignac number, because none of the positive numbers 2^k-105198329 is a prime.

It is a super-2 number, since 2×105198329² = 22133376848784482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105198292 and 105198301.

It is not an unprimeable number, because it can be changed into a prime (105198319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127412 + ... + 128234.

It is an arithmetic number, because the mean of its divisors is an integer number (7134192).

Almost surely, 2^105198329 is an apocalyptic number.

It is an amenable number.

105198329 is a deficient number, since it is larger than the sum of its proper divisors (8948743).

105198329 is a wasteful number, since it uses less digits than its factorization.

105198329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016.

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 105198329 is about 10256.6236647349. The cubic root of 105198329 is about 472.0662447121.

The spelling of 105198329 in words is "one hundred five million, one hundred ninety-eight thousand, three hundred twenty-nine".