10103808000 has 896 divisors, whose sum is σ = 41219103744. Its totient is φ = 2162688000.

The previous prime is 10103807929. The next prime is 10103808047. The reversal of 10103808000 is 80830101.

It is a happy number.

It is a super-2 number, since 2×10103808000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439295989 + ... + 439296011.

It is an arithmetic number, because the mean of its divisors is an integer number (46003464).

Almost surely, 2^10103808000 is an apocalyptic number.

10103808000 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 10103808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609551872).

10103808000 is an abundant number, since it is smaller than the sum of its proper divisors (31115295744).

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

10103808000 is a wasteful number, since it uses less digits than its factorization.

10103808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 10103808000 in words is "ten billion, one hundred three million, eight hundred eight thousand".