103322534363136 has 1920 divisors, whose sum is σ = 373900388843520. Its totient is φ = 27824593305600.

The previous prime is 103322534363099. The next prime is 103322534363141. The reversal of 103322534363136 is 631363435223301.

103322534363136 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 2 + 5 + 3 + 4 + 3 + 631 + 3 + 6 = 666.

It is a super-3 number, since 3×103322534363136³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 103322534363091 and 103322534363100.

It is a congruent number.

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, 110269513260 + ... + 110269514196.

It is an arithmetic number, because the mean of its divisors is an integer number (194739785856).

Almost surely, 2^{103322534363136} is an apocalyptic number.

103322534363136 is a gapful number since it is divisible by the number (16) 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 103322534363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186950194421760).

103322534363136 is an abundant number, since it is smaller than the sum of its proper divisors (270577854480384).

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

103322534363136 is a wasteful number, since it uses less digits than its factorization.

103322534363136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 45.

Adding to 103322534363136 its reverse (631363435223301), we get a palindrome (734685969586437).

The spelling of 103322534363136 in words is "one hundred three trillion, three hundred twenty-two billion, five hundred thirty-four million, three hundred sixty-three thousand, one hundred thirty-six".