105532326912 has 176 divisors, whose sum is σ = 298265127552. Its totient is φ = 33059635200.

The previous prime is 105532326899. The next prime is 105532326917. The reversal of 105532326912 is 219623235501.

It is a super-2 number, since 2×105532326912² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105532326917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55513162 + ... + 55515062.

Almost surely, 2^105532326912 is an apocalyptic number.

105532326912 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 105532326912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149132563776).

105532326912 is an abundant number, since it is smaller than the sum of its proper divisors (192732800640).

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

105532326912 is a wasteful number, since it uses less digits than its factorization.

105532326912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 105532326912 in words is "one hundred five billion, five hundred thirty-two million, three hundred twenty-six thousand, nine hundred twelve".