103352122341440 has 336 divisors, whose sum is σ = 303160296499632. Its totient is φ = 33347101261824.

The previous prime is 103352122341401. The next prime is 103352122341449. The reversal of 103352122341440 is 44143221253301.

It can be written as a sum of positive squares in 8 ways, for example, as 1492677949504 + 101859444391936 = 1221752^2 + 10092544^2 .

It is a super-2 number, since 2×103352122341440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 103352122341440.

It is not an unprimeable number, because it can be changed into a prime (103352122341449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4060495754 + ... + 4060521206.

Almost surely, 2^{103352122341440} is an apocalyptic number.

103352122341440 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 103352122341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151580148249816).

103352122341440 is an abundant number, since it is smaller than the sum of its proper divisors (199808174158192).

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

103352122341440 is a wasteful number, since it uses less digits than its factorization.

103352122341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40734 (or 40717 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 103352122341440 its reverse (44143221253301), we get a palindrome (147495343594741).

The spelling of 103352122341440 in words is "one hundred three trillion, three hundred fifty-two billion, one hundred twenty-two million, three hundred forty-one thousand, four hundred forty".