100015344132 has 144 divisors (see below), whose sum is σ = 260253616896. Its totient is φ = 29868608000.

The previous prime is 100015344103. The next prime is 100015344137. The reversal of 100015344132 is 231443510001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100015344137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34168453 + ... + 34171379.

It is an arithmetic number, because the mean of its divisors is an integer number (1807316784).

Almost surely, 2^100015344132 is an apocalyptic number.

100015344132 is a gapful number since it is divisible by the number (12) 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 100015344132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130126808448).

100015344132 is an abundant number, since it is smaller than the sum of its proper divisors (160238272764).

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

100015344132 is a wasteful number, since it uses less digits than its factorization.

100015344132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 100015344132 its reverse (231443510001), we get a palindrome (331458854133).

The spelling of 100015344132 in words is "one hundred billion, fifteen million, three hundred forty-four thousand, one hundred thirty-two".