10103819472 has 120 divisors (see below), whose sum is σ = 30335454240. Its totient is φ = 3251767680.

The previous prime is 10103819447. The next prime is 10103819489. The reversal of 10103819472 is 27491830101.

It is a happy number.

10103819472 is a `hidden beast` number, since 1 + 0 + 103 + 81 + 9 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 67947 + ... + 157557.

It is an arithmetic number, because the mean of its divisors is an integer number (252795452).

Almost surely, 2^10103819472 is an apocalyptic number.

10103819472 is a gapful number since it is divisible by the number (12) 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 10103819472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15167727120).

10103819472 is an abundant number, since it is smaller than the sum of its proper divisors (20231634768).

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

10103819472 is an equidigital number, since it uses as much as digits as its factorization.

10103819472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89663 (or 89645 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10103819472 in words is "ten billion, one hundred three million, eight hundred nineteen thousand, four hundred seventy-two".