100103401440 has 432 divisors, whose sum is σ = 406628350128. Its totient is φ = 22347988992.

The previous prime is 100103401429. The next prime is 100103401459. The reversal of 100103401440 is 44104301001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3017584 + ... + 3050576.

It is an arithmetic number, because the mean of its divisors is an integer number (941269329).

Almost surely, 2^100103401440 is an apocalyptic number.

100103401440 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 100103401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203314175064).

100103401440 is an abundant number, since it is smaller than the sum of its proper divisors (306524948688).

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

100103401440 is a wasteful number, since it uses less digits than its factorization.

100103401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33071 (or 33053 counting only the distinct ones).

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

Adding to 100103401440 its reverse (44104301001), we get a palindrome (144207702441).

The spelling of 100103401440 in words is "one hundred billion, one hundred three million, four hundred one thousand, four hundred forty".