8100090 has 24 divisors (see below), whose sum is σ = 21060468. Its totient is φ = 2160000.

The previous prime is 8100073. The next prime is 8100091. The reversal of 8100090 is 900018.

It can be written as a sum of positive squares in 2 ways, for example, as 7306209 + 793881 = 2703^2 + 891^2 .

It is a super-2 number, since 2×8100090² = 131222916016200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8100091) 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, 44911 + ... + 45090.

Almost surely, 2^8100090 is an apocalyptic number.

8100090 is an abundant number, since it is smaller than the sum of its proper divisors (12960378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8100090 is a wasteful number, since it uses less digits than its factorization.

8100090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90014 (or 90011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 8100090 is about 2846.0657054959. The cubic root of 8100090 is about 200.8306288363.

Subtracting from 8100090 its product of nonzero digits (72), we obtain a palindrome (8100018).

It can be divided in two parts, 81000 and 90, that multiplied together give a square (7290000 = 2700²).

The spelling of 8100090 in words is "eight million, one hundred thousand, ninety".