100672 has 42 divisors (see below), whose sum is σ = 236474. Its totient is φ = 42240.

The previous prime is 100669. The next prime is 100673. The reversal of 100672 is 276001.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 30976 = 264^2 + 176^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100673) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 7738 + ... + 7750.

2¹⁰⁰⁶⁷² 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 100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118237).

100672 is an abundant number, since it is smaller than the sum of its proper divisors (135802).

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

100672 is a wasteful number, since it uses less digits than its factorization.

100672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 100672 is about 317.2885122408. The cubic root of 100672 is about 46.5196278952.

Adding to 100672 its reverse (276001), we get a palindrome (376673).

The spelling of 100672 in words is "one hundred thousand, six hundred seventy-two".