100090 has 8 divisors (see below), whose sum is σ = 180180. Its totient is φ = 40032.

The previous prime is 100069. The next prime is 100103. The reversal of 100090 is 90001.

It is a happy number.

100090 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 91809 + 8281 = 303^2 + 91^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 10009 = 100090 / (1 + 0 + 0 + 0 + 9 + 0).

100090 is a modest number, since divided by 90 gives 10 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4995 + ... + 5014.

2¹⁰⁰⁰⁹⁰ is an apocalyptic number.

100090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100090 is a deficient number, since it is larger than the sum of its proper divisors (80090).

100090 is a wasteful number, since it uses less digits than its factorization.

100090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 100090 is about 316.3700365079. The cubic root of 100090 is about 46.4298089273.

Adding to 100090 its reverse (90001), we get a palindrome (190091).

It can be divided in two parts, 1000 and 90, that multiplied together give a square (90000 = 300²).

The spelling of 100090 in words is "one hundred thousand, ninety".