101180 has 12 divisors (see below), whose sum is σ = 212520. Its totient is φ = 40464.

The previous prime is 101173. The next prime is 101183. The reversal of 101180 is 81101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101183) by changing a digit.

101180 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 3 ways as a sum of consecutive naturals, for example, 2510 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (17710).

2¹⁰¹¹⁸⁰ is an apocalyptic number.

101180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101180 is an abundant number, since it is smaller than the sum of its proper divisors (111340).

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

101180 is a wasteful number, since it uses less digits than its factorization.

101180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5066 counting only the distinct ones).

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

The square root of 101180 is about 318.0880381278. The cubic root of 101180 is about 46.5977440624.

Adding to 101180 its reverse (81101), we get a palindrome (182281).

The spelling of 101180 in words is "one hundred one thousand, one hundred eighty".