100038240 has 288 divisors, whose sum is σ = 369847296. Its totient is φ = 25505280.

The previous prime is 100038233. The next prime is 100038241. The reversal of 100038240 is 42830001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100038241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205239 + ... + 1205321.

It is an arithmetic number, because the mean of its divisors is an integer number (1284192).

Almost surely, 2^100038240 is an apocalyptic number.

100038240 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 100038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

100038240 is an abundant number, since it is smaller than the sum of its proper divisors (269809056).

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

100038240 is an equidigital number, since it uses as much as digits as its factorization.

100038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100038240 is about 10001.9118172477. The cubic root of 100038240 is about 464.2180406070.

Adding to 100038240 its reverse (42830001), we get a palindrome (142868241).

The spelling of 100038240 in words is "one hundred million, thirty-eight thousand, two hundred forty".