105531541332 has 96 divisors (see below), whose sum is σ = 293999462400. Its totient is φ = 28806890112.

The previous prime is 105531541307. The next prime is 105531541351. The reversal of 105531541332 is 233145135501.

It is a super-2 number, since 2×105531541332² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105531541293 and 105531541302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1627794 + ... + 1691382.

It is an arithmetic number, because the mean of its divisors is an integer number (3062494400).

Almost surely, 2^105531541332 is an apocalyptic number.

105531541332 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 105531541332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146999731200).

105531541332 is an abundant number, since it is smaller than the sum of its proper divisors (188467921068).

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

105531541332 is a wasteful number, since it uses less digits than its factorization.

105531541332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64485 (or 64483 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 105531541332 its reverse (233145135501), we get a palindrome (338676676833).

The spelling of 105531541332 in words is "one hundred five billion, five hundred thirty-one million, five hundred forty-one thousand, three hundred thirty-two".