105889689 has 12 divisors (see below), whose sum is σ = 153088000. Its totient is φ = 70530264.

The previous prime is 105889687. The next prime is 105889697. The reversal of 105889689 is 986988501.

It is not a de Polignac number, because 105889689 - 2¹ = 105889687 is a prime.

It is a super-2 number, since 2×105889689² = 22425252473033442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105889687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6912 + ... + 16110.

Almost surely, 2^105889689 is an apocalyptic number.

It is an amenable number.

105889689 is a deficient number, since it is larger than the sum of its proper divisors (47198311).

105889689 is a wasteful number, since it uses less digits than its factorization.

105889689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10484 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 105889689 is about 10290.2715707604. The cubic root of 105889689 is about 473.0981221880.

The spelling of 105889689 in words is "one hundred five million, eight hundred eighty-nine thousand, six hundred eighty-nine".