100800 has 126 divisors (see below), whose sum is σ = 409448. Its totient is φ = 23040.

The previous prime is 100799. The next prime is 100801. The reversal of 100800 is 8001.

100800 = T₂₁ + T₂₂ + ... + T₈₄.

It is an interprime number because it is at equal distance from previous prime (100799) and next prime (100801).

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14397 + ... + 14403.

2¹⁰⁰⁸⁰⁰ is an apocalyptic number.

100800 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 100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204724).

100800 is an abundant number, since it is smaller than the sum of its proper divisors (308648).

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

100800 is a wasteful number, since it uses less digits than its factorization.

100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100800 is about 317.4901573278. The cubic root of 100800 is about 46.5393354290.

Adding to 100800 its reverse (8001), we get a palindrome (108801).

It can be divided in two parts, 100 and 800, that added together give a square (900 = 30²).

The spelling of 100800 in words is "one hundred thousand, eight hundred".