100760 has 32 divisors (see below), whose sum is σ = 248400. Its totient is φ = 36480.

The previous prime is 100747. The next prime is 100769. The reversal of 100760 is 67001.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100760.

It is not an unprimeable number, because it can be changed into a prime (100769) by changing a digit.

100760 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326 + ... + 554.

2¹⁰⁰⁷⁶⁰ is an apocalyptic number.

100760 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 100760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124200).

100760 is an abundant number, since it is smaller than the sum of its proper divisors (147640).

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

100760 is a wasteful number, since it uses less digits than its factorization.

100760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 100760 is about 317.4271569983. The cubic root of 100760 is about 46.5331786178.

Adding to 100760 its reverse (67001), we get a palindrome (167761).

The spelling of 100760 in words is "one hundred thousand, seven hundred sixty".