105589090 has 32 divisors (see below), whose sum is σ = 199584000. Its totient is φ = 40142784.

The previous prime is 105589073. The next prime is 105589093. The reversal of 105589090 is 90985501.

It is a super-2 number, since 2×105589090² = 22298111854056200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105589093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37036 + ... + 39784.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2^105589090 is an apocalyptic number.

105589090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105589090 is a deficient number, since it is larger than the sum of its proper divisors (93994910).

105589090 is a wasteful number, since it uses less digits than its factorization.

105589090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946.

The product of its (nonzero) digits is 16200, while the sum is 37.

The square root of 105589090 is about 10275.6552102530. The cubic root of 105589090 is about 472.6500218823.

The spelling of 105589090 in words is "one hundred five million, five hundred eighty-nine thousand, ninety".