100430503059744 has 960 divisors, whose sum is σ = 355933203816960. Its totient is φ = 27377740800000.

The previous prime is 100430503059743. The next prime is 100430503059791. The reversal of 100430503059744 is 447950305034001.

100430503059744 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 3 + 0 + 50 + 3 + 0 + 597 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100430503059744.

It is not an unprimeable number, because it can be changed into a prime (100430503059743) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2464471369 + ... + 2464512119.

It is an arithmetic number, because the mean of its divisors is an integer number (370763753976).

Almost surely, 2^{100430503059744} 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 100430503059744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177966601908480).

100430503059744 is an abundant number, since it is smaller than the sum of its proper divisors (255502700757216).

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

100430503059744 is a wasteful number, since it uses less digits than its factorization.

100430503059744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40967 (or 40950 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 100430503059744 in words is "one hundred trillion, four hundred thirty billion, five hundred three million, fifty-nine thousand, seven hundred forty-four".