105205089 has 8 divisors (see below), whose sum is σ = 153025632. Its totient is φ = 63760640.

The previous prime is 105205081. The next prime is 105205091. The reversal of 105205089 is 980502501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105205089 - 2³ = 105205081 is a prime.

It is a super-2 number, since 2×105205089² = 22136221502995842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105205081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1593984 + ... + 1594049.

It is an arithmetic number, because the mean of its divisors is an integer number (19128204).

Almost surely, 2^105205089 is an apocalyptic number.

It is an amenable number.

105205089 is a deficient number, since it is larger than the sum of its proper divisors (47820543).

105205089 is a wasteful number, since it uses less digits than its factorization.

105205089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188047.

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 105205089 is about 10256.9532025841. The cubic root of 105205089 is about 472.0763560877.

The spelling of 105205089 in words is "one hundred five million, two hundred five thousand, eighty-nine".