105100196 has 24 divisors (see below), whose sum is σ = 187042296. Its totient is φ = 51667200.

The previous prime is 105100169. The next prime is 105100201. The reversal of 105100196 is 691001501.

It can be written as a sum of positive squares in 4 ways, for example, as 22944100 + 82156096 = 4790^2 + 9064^2 .

It is a super-2 number, since 2×105100196² = 22092102398476832, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 62600 + ... + 64256.

It is an arithmetic number, because the mean of its divisors is an integer number (7793429).

Almost surely, 2^105100196 is an apocalyptic number.

It is an amenable number.

105100196 is a deficient number, since it is larger than the sum of its proper divisors (81942100).

105100196 is a wasteful number, since it uses less digits than its factorization.

105100196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 105100196 is about 10251.8386643568. The cubic root of 105100196 is about 471.9194119332.

Adding to 105100196 its reverse (691001501), we get a palindrome (796101697).

The spelling of 105100196 in words is "one hundred five million, one hundred thousand, one hundred ninety-six".