15105331332 has 180 divisors, whose sum is σ = 49469560140. Its totient is φ = 3983769216.

The previous prime is 15105331321. The next prime is 15105331361. The reversal of 15105331332 is 23313350151.

It can be written as a sum of positive squares in 2 ways, for example, as 9560146176 + 5545185156 = 97776^2 + 74466^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 15105331296 and 15105331305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 169794 + ... + 242982.

Almost surely, 2^15105331332 is an apocalyptic number.

15105331332 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 15105331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24734780070).

15105331332 is an abundant number, since it is smaller than the sum of its proper divisors (34364228808).

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

15105331332 is a wasteful number, since it uses less digits than its factorization.

15105331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73232 (or 73214 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 15105331332 its reverse (23313350151), we get a palindrome (38418681483).

The spelling of 15105331332 in words is "fifteen billion, one hundred five million, three hundred thirty-one thousand, three hundred thirty-two".