100550503038720 has 1152 divisors, whose sum is σ = 391753021685760. Its totient is φ = 21468508323840.

The previous prime is 100550503038719. The next prime is 100550503038749. The reversal of 100550503038720 is 27830305055001.

It is a super-2 number, since 2×100550503038720² (a number of 29 digits) contains 22 as substring.

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, 24458889465 + ... + 24458893575.

It is an arithmetic number, because the mean of its divisors is an integer number (340063386880).

Almost surely, 2^{100550503038720} is an apocalyptic number.

100550503038720 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 100550503038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195876510842880).

100550503038720 is an abundant number, since it is smaller than the sum of its proper divisors (291202518647040).

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

100550503038720 is a wasteful number, since it uses less digits than its factorization.

100550503038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 100550503038720 in words is "one hundred trillion, five hundred fifty billion, five hundred three million, thirty-eight thousand, seven hundred twenty".