118100 has 18 divisors (see below), whose sum is σ = 256494. Its totient is φ = 47200.

The previous prime is 118093. The next prime is 118127. The reversal of 118100 is 1811.

118100 = T₂₄₁ + T₂₄₂ + ... + T₂₄₄.

118100 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 26896 + 91204 = 164^2 + 302^2 .

It is a super-2 number, since 2×118100² = 27895220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

118100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 491 + ... + 690.

2¹¹⁸¹⁰⁰ is an apocalyptic number.

118100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

118100 is an abundant number, since it is smaller than the sum of its proper divisors (138394).

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

118100 is a wasteful number, since it uses less digits than its factorization.

118100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 118100 is about 343.6568055488. The cubic root of 118100 is about 49.0625329628.

Adding to 118100 its reverse (1811), we get a palindrome (119911).

The spelling of 118100 in words is "one hundred eighteen thousand, one hundred".