105198261 has 16 divisors (see below), whose sum is σ = 169732224. Its totient is φ = 56577024.

The previous prime is 105198259. The next prime is 105198271. The reversal of 105198261 is 162891501.

It is not a de Polignac number, because 105198261 - 2¹ = 105198259 is a prime.

It is a super-2 number, since 2×105198261² = 22133348234848242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105198271) 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 in 15 ways as a sum of consecutive naturals, for example, 146980 + ... + 147693.

It is an arithmetic number, because the mean of its divisors is an integer number (10608264).

Almost surely, 2^105198261 is an apocalyptic number.

It is an amenable number.

105198261 is a deficient number, since it is larger than the sum of its proper divisors (64533963).

105198261 is a wasteful number, since it uses less digits than its factorization.

105198261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294700.

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 105198261 is about 10256.6203498033. The cubic root of 105198261 is about 472.0661429978.

The spelling of 105198261 in words is "one hundred five million, one hundred ninety-eight thousand, two hundred sixty-one".