100263345036560 has 320 divisors, whose sum is σ = 251322414336000. Its totient is φ = 37066528751616.

The previous prime is 100263345036553. The next prime is 100263345036683. The reversal of 100263345036560 is 65630543362001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6618471866 + ... + 6618487014.

It is an arithmetic number, because the mean of its divisors is an integer number (785382544800).

Almost surely, 2^{100263345036560} is an apocalyptic number.

100263345036560 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 100263345036560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125661207168000).

100263345036560 is an abundant number, since it is smaller than the sum of its proper divisors (151059069299440).

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

100263345036560 is a wasteful number, since it uses less digits than its factorization.

100263345036560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15698 (or 15692 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 44.

Adding to 100263345036560 its reverse (65630543362001), we get a palindrome (165893888398561).

The spelling of 100263345036560 in words is "one hundred trillion, two hundred sixty-three billion, three hundred forty-five million, thirty-six thousand, five hundred sixty".