105740089 has 27 divisors (see below), whose sum is σ = 134382573. Its totient is φ = 82922112.

The previous prime is 105740071. The next prime is 105740093. The reversal of 105740089 is 980047501.

It is a happy number.

The square root of 105740089 is 10283.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 78907689 + 26832400 = 8883^2 + 5180^2 .

It is not a de Polignac number, because 105740089 - 2⁵ = 105740057 is a prime.

It is a super-2 number, since 2×105740089² = 22361932843455842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105740029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 935697 + ... + 935809.

Almost surely, 2^105740089 is an apocalyptic number.

105740089 is the 10283-rd square number.

105740089 is the 5142-nd centered octagonal number.

It is an amenable number.

105740089 is a deficient number, since it is larger than the sum of its proper divisors (28642484).

105740089 is an equidigital number, since it uses as much as digits as its factorization.

105740089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The cubic root of 105740089 is about 472.8752209271.

The spelling of 105740089 in words is "one hundred five million, seven hundred forty thousand, eighty-nine".