103022131003440 has 640 divisors, whose sum is σ = 355837214674944. Its totient is φ = 24447177216000.

The previous prime is 103022131003423. The next prime is 103022131003453. The reversal of 103022131003440 is 44300131220301.

It is a happy number.

It is a super-2 number, since 2×103022131003440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103022131003440.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28849656855 + ... + 28849660425.

Almost surely, 2^{103022131003440} is an apocalyptic number.

103022131003440 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 103022131003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177918607337472).

103022131003440 is an abundant number, since it is smaller than the sum of its proper divisors (252815083671504).

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

103022131003440 is a wasteful number, since it uses less digits than its factorization.

103022131003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103022131003440 its reverse (44300131220301), we get a palindrome (147322262223741).

The spelling of 103022131003440 in words is "one hundred three trillion, twenty-two billion, one hundred thirty-one million, three thousand, four hundred forty".