10000103003040 has 384 divisors, whose sum is σ = 34501492408320. Its totient is φ = 2423767449600.

The previous prime is 10000103003027. The next prime is 10000103003081. The reversal of 10000103003040 is 4030030100001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121126575 + ... + 121209105.

It is an arithmetic number, because the mean of its divisors is an integer number (89847636480).

Almost surely, 2^{10000103003040} is an apocalyptic number.

10000103003040 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 10000103003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250746204160).

10000103003040 is an abundant number, since it is smaller than the sum of its proper divisors (24501389405280).

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

10000103003040 is a wasteful number, since it uses less digits than its factorization.

10000103003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83076 (or 83068 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10000103003040 its reverse (4030030100001), we get a palindrome (14030133103041).

The spelling of 10000103003040 in words is "ten trillion, one hundred three million, three thousand, forty".