105689192 has 16 divisors (see below), whose sum is σ = 226476960. Its totient is φ = 45295344.

The previous prime is 105689189. The next prime is 105689197. The reversal of 105689192 is 291986501.

It is a happy number.

It is a super-2 number, since 2×105689192² = 22340410611225728, which contains 22 as substring.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 943598 + ... + 943709.

It is an arithmetic number, because the mean of its divisors is an integer number (14154810).

Almost surely, 2^105689192 is an apocalyptic number.

It is an amenable number.

105689192 is an abundant number, since it is smaller than the sum of its proper divisors (120787768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105689192 is a wasteful number, since it uses less digits than its factorization.

105689192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887320 (or 1887316 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 105689192 is about 10280.5248893235. The cubic root of 105689192 is about 472.7993373998.

The spelling of 105689192 in words is "one hundred five million, six hundred eighty-nine thousand, one hundred ninety-two".