105363306132 has 96 divisors (see below), whose sum is σ = 286456074240. Its totient is φ = 29518473600.

The previous prime is 105363306131. The next prime is 105363306143. The reversal of 105363306132 is 231603363501.

It is a happy number.

It is a super-2 number, since 2×105363306132² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105363306093 and 105363306102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105363306131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1940757 + ... + 1994307.

It is an arithmetic number, because the mean of its divisors is an integer number (2983917440).

Almost surely, 2^105363306132 is an apocalyptic number.

105363306132 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 105363306132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143228037120).

105363306132 is an abundant number, since it is smaller than the sum of its proper divisors (181092768108).

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

105363306132 is a wasteful number, since it uses less digits than its factorization.

105363306132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54021 (or 54019 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

Adding to 105363306132 its reverse (231603363501), we get a palindrome (336966669633).

The spelling of 105363306132 in words is "one hundred five billion, three hundred sixty-three million, three hundred six thousand, one hundred thirty-two".