103643065109760 has 864 divisors, whose sum is σ = 380860536397824. Its totient is φ = 23797082112000.

The previous prime is 103643065109741. The next prime is 103643065109767. The reversal of 103643065109760 is 67901560346301.

It is a super-3 number, since 3×103643065109760³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103643065109767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2892535045 + ... + 2892570875.

It is an arithmetic number, because the mean of its divisors is an integer number (440810806016).

Almost surely, 2^{103643065109760} is an apocalyptic number.

103643065109760 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 103643065109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190430268198912).

103643065109760 is an abundant number, since it is smaller than the sum of its proper divisors (277217471288064).

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

103643065109760 is a wasteful number, since it uses less digits than its factorization.

103643065109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35991 (or 35930 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 103643065109760 in words is "one hundred three trillion, six hundred forty-three billion, sixty-five million, one hundred nine thousand, seven hundred sixty".