100300052400024 has 256 divisors, whose sum is σ = 265558632192000. Its totient is φ = 31535612559360.

The previous prime is 100300052399873. The next prime is 100300052400047. The reversal of 100300052400024 is 420004250003001.

It is a super-2 number, since 2×100300052400024² (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 63 ways as a sum of consecutive naturals, for example, 1178668422 + ... + 1178753514.

It is an arithmetic number, because the mean of its divisors is an integer number (1037338407000).

Almost surely, 2^{100300052400024} 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 100300052400024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132779316096000).

100300052400024 is an abundant number, since it is smaller than the sum of its proper divisors (165258579791976).

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

100300052400024 is a wasteful number, since it uses less digits than its factorization.

100300052400024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85538 (or 85534 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The spelling of 100300052400024 in words is "one hundred trillion, three hundred billion, fifty-two million, four hundred thousand, twenty-four".