100764 has 30 divisors (see below), whose sum is σ = 264264. Its totient is φ = 33480.

The previous prime is 100747. The next prime is 100769. The reversal of 100764 is 467001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a congruent number.

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

100764 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 9 ways as a sum of consecutive naturals, for example, 169 + ... + 479.

2¹⁰⁰⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132132).

100764 is an abundant number, since it is smaller than the sum of its proper divisors (163500).

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

100764 is a wasteful number, since it uses less digits than its factorization.

100764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100764 is about 317.4334575939. The cubic root of 100764 is about 46.5337943722.

Adding to 100764 its reverse (467001), we get a palindrome (567765).

It can be divided in two parts, 10076 and 4, that multiplied together give a palindrome (40304).

The spelling of 100764 in words is "one hundred thousand, seven hundred sixty-four".