105030330132 has 96 divisors (see below), whose sum is σ = 301956659200. Its totient is φ = 27669900672.

The previous prime is 105030330113. The next prime is 105030330137. The reversal of 105030330132 is 231033030501.

It is a super-2 number, since 2×105030330132² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 105030330099 and 105030330108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105030330137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951219 + ... + 1055877.

Almost surely, 2^105030330132 is an apocalyptic number.

105030330132 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 105030330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150978329600).

105030330132 is an abundant number, since it is smaller than the sum of its proper divisors (196926329068).

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

105030330132 is a wasteful number, since it uses less digits than its factorization.

105030330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105605 (or 105603 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

Adding to 105030330132 its reverse (231033030501), we get a palindrome (336063360633).

The spelling of 105030330132 in words is "one hundred five billion, thirty million, three hundred thirty thousand, one hundred thirty-two".