100240 has 40 divisors (see below), whose sum is σ = 267840. Its totient is φ = 34176.

The previous prime is 100237. The next prime is 100267. The reversal of 100240 is 42001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 471 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2¹⁰⁰²⁴⁰ is an apocalyptic number.

100240 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 100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

100240 is an abundant number, since it is smaller than the sum of its proper divisors (167600).

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

100240 is a wasteful number, since it uses less digits than its factorization.

100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 100240 is about 316.6070119249. The cubic root of 100240 is about 46.4529913802.

Adding to 100240 its reverse (42001), we get a palindrome (142241).

The spelling of 100240 in words is "one hundred thousand, two hundred forty", and thus it is an iban number.