100014415132324 has 96 divisors (see below), whose sum is σ = 220044833648640. Its totient is φ = 38640038860800.

The previous prime is 100014415132277. The next prime is 100014415132339. The reversal of 100014415132324 is 423231514410001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52607812 + ... + 54475780.

It is an arithmetic number, because the mean of its divisors is an integer number (2292133683840).

Almost surely, 2^{100014415132324} is an apocalyptic number.

100014415132324 is a gapful number since it is divisible by the number (14) 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 100014415132324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110022416824320).

100014415132324 is an abundant number, since it is smaller than the sum of its proper divisors (120030418516316).

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

100014415132324 is a wasteful number, since it uses less digits than its factorization.

100014415132324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869449 (or 1869447 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 100014415132324 its reverse (423231514410001), we get a palindrome (523245929542325).

The spelling of 100014415132324 in words is "one hundred trillion, fourteen billion, four hundred fifteen million, one hundred thirty-two thousand, three hundred twenty-four".