100576 has 24 divisors (see below), whose sum is σ = 226800. Its totient is φ = 43008.

The previous prime is 100559. The next prime is 100591. The reversal of 100576 is 675001.

100576 is a nontrivial binomial coefficient, being equal to C(449, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 448.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹⁰⁰⁵⁷⁶ is an apocalyptic number.

100576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100576 is the 448-th triangular number.

100576 is the 150-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

100576 is an abundant number, since it is smaller than the sum of its proper divisors (126224).

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

100576 is an equidigital number, since it uses as much as digits as its factorization.

100576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 100576 is about 317.1371942866. The cubic root of 100576 is about 46.5048362797.

Adding to 100576 its reverse (675001), we get a palindrome (775577).

It can be divided in two parts, 1005 and 76, that added together give a triangular number (1081 = T₄₆).

The spelling of 100576 in words is "one hundred thousand, five hundred seventy-six".