103260263568 has 240 divisors, whose sum is σ = 336531793920. Its totient is φ = 26706113280.

The previous prime is 103260263551. The next prime is 103260263569. The reversal of 103260263568 is 865362062301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (103260263569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9711471 + ... + 9722097.

It is an arithmetic number, because the mean of its divisors is an integer number (1402215808).

Almost surely, 2^103260263568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103260263568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168265896960).

103260263568 is an abundant number, since it is smaller than the sum of its proper divisors (233271530352).

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

103260263568 is a wasteful number, since it uses less digits than its factorization.

103260263568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10906 (or 10889 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 103260263568 in words is "one hundred three billion, two hundred sixty million, two hundred sixty-three thousand, five hundred sixty-eight".