105531292032 has 256 divisors, whose sum is σ = 303286636800. Its totient is φ = 32403456000.

The previous prime is 105531291949. The next prime is 105531292043. The reversal of 105531292032 is 230292135501.

It is a super-2 number, since 2×105531292032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105531291984 and 105531292002.

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, 175592532 + ... + 175593132.

It is an arithmetic number, because the mean of its divisors is an integer number (1184713425).

Almost surely, 2^105531292032 is an apocalyptic number.

105531292032 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 105531292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151643318400).

105531292032 is an abundant number, since it is smaller than the sum of its proper divisors (197755344768).

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

105531292032 is a wasteful number, since it uses less digits than its factorization.

105531292032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 105531292032 in words is "one hundred five billion, five hundred thirty-one million, two hundred ninety-two thousand, thirty-two".