100501604024320 has 120 divisors (see below), whose sum is σ = 243683069707224. Its totient is φ = 39786198859776.

The previous prime is 100501604024309. The next prime is 100501604024323. The reversal of 100501604024320 is 23420406105001.

It can be written as a sum of positive squares in 4 ways, for example, as 42839064576 + 100458764959744 = 206976^2 + 10022912^2 .

It is a super-2 number, since 2×100501604024320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100501604024323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1622394 + ... + 14270086.

Almost surely, 2^{100501604024320} is an apocalyptic number.

100501604024320 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 100501604024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121841534853612).

100501604024320 is an abundant number, since it is smaller than the sum of its proper divisors (143181465682904).

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

100501604024320 is an frugal number, since it uses more digits than its factorization.

100501604024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12647823 (or 12647797 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 100501604024320 in words is "one hundred trillion, five hundred one billion, six hundred four million, twenty-four thousand, three hundred twenty".