103010372845440 has 256 divisors, whose sum is σ = 337609980417600. Its totient is φ = 26703880519680.

The previous prime is 103010372845417. The next prime is 103010372845451. The reversal of 103010372845440 is 44548273010301.

It is a super-2 number, since 2×103010372845440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103010372845392 and 103010372845401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6448320 + ... + 15735360.

Almost surely, 2^{103010372845440} is an apocalyptic number.

103010372845440 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 103010372845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168804990208800).

103010372845440 is an abundant number, since it is smaller than the sum of its proper divisors (234599607572160).

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

103010372845440 is a wasteful number, since it uses less digits than its factorization.

103010372845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9287225 (or 9287213 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 103010372845440 in words is "one hundred three trillion, ten billion, three hundred seventy-two million, eight hundred forty-five thousand, four hundred forty".