10103103001440 has 144 divisors (see below), whose sum is σ = 34487440460928. Its totient is φ = 2693332359168.

The previous prime is 10103103001417. The next prime is 10103103001477. The reversal of 10103103001440 is 4410030130101.

10103103001440 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 310 + 300 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3613009 + ... + 5767151.

It is an arithmetic number, because the mean of its divisors is an integer number (239496114312).

Almost surely, 2^{10103103001440} is an apocalyptic number.

10103103001440 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 10103103001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243720230464).

10103103001440 is an abundant number, since it is smaller than the sum of its proper divisors (24384337459488).

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

10103103001440 is a wasteful number, since it uses less digits than its factorization.

10103103001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157421 (or 2157410 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10103103001440 its reverse (4410030130101), we get a palindrome (14513133131541).

The spelling of 10103103001440 in words is "ten trillion, one hundred three billion, one hundred three million, one thousand, four hundred forty".