10103408640 has 480 divisors, whose sum is σ = 39041042040. Its totient is φ = 2484338688.

The previous prime is 10103408639. The next prime is 10103408647. The reversal of 10103408640 is 4680430101.

10103408640 is a `hidden beast` number, since 1 + 0 + 10 + 3 + 4 + 0 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3554067456 + 6549341184 = 59616^2 + 80928^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10103408640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10103408647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10782252 + ... + 10783188.

Almost surely, 2^10103408640 is an apocalyptic number.

10103408640 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 10103408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19520521020).

10103408640 is an abundant number, since it is smaller than the sum of its proper divisors (28937633400).

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

10103408640 is an equidigital number, since it uses as much as digits as its factorization.

10103408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10103408640 its reverse (4680430101), we get a palindrome (14783838741).

The spelling of 10103408640 in words is "ten billion, one hundred three million, four hundred eight thousand, six hundred forty".