10903818240 has 624 divisors, whose sum is σ = 44937529728. Its totient is φ = 2484338688.

The previous prime is 10903818221. The next prime is 10903818269. The reversal of 10903818240 is 4281830901.

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

It is a junction number, because it is equal to n+sod(n) for n = 10903818195 and 10903818204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34836324 + ... + 34836636.

It is an arithmetic number, because the mean of its divisors is an integer number (72015272).

Almost surely, 2^10903818240 is an apocalyptic number.

10903818240 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 10903818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22468764864).

10903818240 is an abundant number, since it is smaller than the sum of its proper divisors (34033711488).

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

10903818240 is an frugal number, since it uses more digits than its factorization.

10903818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10903818240 in words is "ten billion, nine hundred three million, eight hundred eighteen thousand, two hundred forty".