105089049 has 32 divisors (see below), whose sum is σ = 168819840. Its totient is φ = 64224576.

The previous prime is 105089041. The next prime is 105089063. The reversal of 105089049 is 940980501.

It is not a de Polignac number, because 105089049 - 2³ = 105089041 is a prime.

It is a super-2 number, since 2×105089049² = 22087416439448802, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105089041) 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, 54154 + ... + 56060.

It is an arithmetic number, because the mean of its divisors is an integer number (5275620).

Almost surely, 2^105089049 is an apocalyptic number.

It is an amenable number.

105089049 is a deficient number, since it is larger than the sum of its proper divisors (63730791).

105089049 is a wasteful number, since it uses less digits than its factorization.

105089049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 105089049 is about 10251.2949913657. The cubic root of 105089049 is about 471.9027273095.

The spelling of 105089049 in words is "one hundred five million, eighty-nine thousand, forty-nine".