100880 has 40 divisors (see below), whose sum is σ = 255192. Its totient is φ = 36864.

The previous prime is 100853. The next prime is 100907. The reversal of 100880 is 88001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100853) and next prime (100907).

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 99856 = 32^2 + 316^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

100880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 992 + ... + 1088.

2¹⁰⁰⁸⁸⁰ is an apocalyptic number.

100880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127596).

100880 is an abundant number, since it is smaller than the sum of its proper divisors (154312).

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

100880 is a wasteful number, since it uses less digits than its factorization.

100880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 100880 is about 317.6161204977. The cubic root of 100880 is about 46.5516441668.

Adding to 100880 its reverse (88001), we get a palindrome (188881).

The spelling of 100880 in words is "one hundred thousand, eight hundred eighty".