100003114240 has 72 divisors (see below), whose sum is σ = 239983141608. Its totient is φ = 39927029760.

The previous prime is 100003114231. The next prime is 100003114259. The reversal of 100003114240 is 42411300001.

It can be written as a sum of positive squares in 4 ways, for example, as 76317696 + 99926796544 = 8736^2 + 316112^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 620274 + ... + 764686.

It is an arithmetic number, because the mean of its divisors is an integer number (3333099189).

Almost surely, 2^100003114240 is an apocalyptic number.

100003114240 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 100003114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119991570804).

100003114240 is an abundant number, since it is smaller than the sum of its proper divisors (139980027368).

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

100003114240 is an equidigital number, since it uses as much as digits as its factorization.

100003114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144975 (or 144961 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100003114240 its reverse (42411300001), we get a palindrome (142414414241).

The spelling of 100003114240 in words is "one hundred billion, three million, one hundred fourteen thousand, two hundred forty".