105689199 has 32 divisors (see below), whose sum is σ = 181370880. Its totient is φ = 53128800.

The previous prime is 105689197. The next prime is 105689203. The reversal of 105689199 is 991986501.

It is not a de Polignac number, because 105689199 - 2¹ = 105689197 is a prime.

It is a super-2 number, since 2×105689199² = 22340413570523202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105689197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219 + ... + 14540.

It is an arithmetic number, because the mean of its divisors is an integer number (5667840).

Almost surely, 2^105689199 is an apocalyptic number.

105689199 is a deficient number, since it is larger than the sum of its proper divisors (75681681).

105689199 is a wasteful number, since it uses less digits than its factorization.

105689199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14811.

The product of its (nonzero) digits is 174960, while the sum is 48.

The square root of 105689199 is about 10280.5252297730. The cubic root of 105689199 is about 472.7993478379.

The spelling of 105689199 in words is "one hundred five million, six hundred eighty-nine thousand, one hundred ninety-nine".