100746 has 24 divisors (see below), whose sum is σ = 226980. Its totient is φ = 32256.

The previous prime is 100741. The next prime is 100747. The reversal of 100746 is 647001.

It can be written as a sum of positive squares in 2 ways, for example, as 99225 + 1521 = 315^2 + 39^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100741) by changing a digit.

100746 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 11 ways as a sum of consecutive naturals, for example, 426 + ... + 618.

2¹⁰⁰⁷⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113490).

100746 is an abundant number, since it is smaller than the sum of its proper divisors (126234).

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

100746 is a wasteful number, since it uses less digits than its factorization.

100746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 227 counting only the distinct ones).

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

The square root of 100746 is about 317.4051039287. The cubic root of 100746 is about 46.5310233489.

Adding to 100746 its reverse (647001), we get a palindrome (747747).

The spelling of 100746 in words is "one hundred thousand, seven hundred forty-six".