100508302648432 has 160 divisors (see below), whose sum is σ = 229257648000000. Its totient is φ = 42666587599104.

The previous prime is 100508302648427. The next prime is 100508302648489. The reversal of 100508302648432 is 234846203805001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293387419 + ... + 293729797.

It is an arithmetic number, because the mean of its divisors is an integer number (1432860300000).

Almost surely, 2^{100508302648432} 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 100508302648432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114628824000000).

100508302648432 is an abundant number, since it is smaller than the sum of its proper divisors (128749345351568).

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

100508302648432 is a wasteful number, since it uses less digits than its factorization.

100508302648432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342916 (or 342896 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 100508302648432 in words is "one hundred trillion, five hundred eight billion, three hundred two million, six hundred forty-eight thousand, four hundred thirty-two".