100124240 has 80 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 38201856.

The previous prime is 100124207. The next prime is 100124249. The reversal of 100124240 is 42421001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100124249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238751 + ... + 239169.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^100124240 is an apocalyptic number.

100124240 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 100124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

100124240 is an abundant number, since it is smaller than the sum of its proper divisors (143610160).

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

100124240 is a wasteful number, since it uses less digits than its factorization.

100124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 100124240 is about 10006.2100717504. The cubic root of 100124240 is about 464.3510274755.

Adding to 100124240 its reverse (42421001), we get a palindrome (142545241).

The spelling of 100124240 in words is "one hundred million, one hundred twenty-four thousand, two hundred forty".