105689102 has 32 divisors (see below), whose sum is σ = 173210400. Its totient is φ = 48176128.

The previous prime is 105689093. The next prime is 105689107. The reversal of 105689102 is 201986501.

It is a super-2 number, since 2×105689102² = 22340372563132808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105689107) 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 15 ways as a sum of consecutive naturals, for example, 160049 + ... + 160707.

It is an arithmetic number, because the mean of its divisors is an integer number (5412825).

Almost surely, 2^105689102 is an apocalyptic number.

105689102 is a deficient number, since it is larger than the sum of its proper divisors (67521298).

105689102 is a wasteful number, since it uses less digits than its factorization.

105689102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820.

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 105689102 is about 10280.5205121142. The cubic root of 105689102 is about 472.7992031951.

The spelling of 105689102 in words is "one hundred five million, six hundred eighty-nine thousand, one hundred two".