100513459488 has 384 divisors, whose sum is σ = 297015828480. Its totient is φ = 29571010560.

The previous prime is 100513459477. The next prime is 100513459523. The reversal of 100513459488 is 884954315001.

It is a happy number.

100513459488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

100513459488 is an astonishing number since 100513459488 = 100513 + ... + 459488.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 581002570 + ... + 581002742.

It is an arithmetic number, because the mean of its divisors is an integer number (773478720).

Almost surely, 2^100513459488 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 100513459488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148507914240).

100513459488 is an abundant number, since it is smaller than the sum of its proper divisors (196502368992).

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

100513459488 is a wasteful number, since it uses less digits than its factorization.

100513459488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 100513459488 in words is "one hundred billion, five hundred thirteen million, four hundred fifty-nine thousand, four hundred eighty-eight".