105232442340 has 192 divisors, whose sum is σ = 314043028992. Its totient is φ = 26269900800.

The previous prime is 105232442323. The next prime is 105232442353. The reversal of 105232442340 is 43244232501.

It is a super-2 number, since 2×105232442340² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105232442298 and 105232442307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33715980 + ... + 33719100.

It is an arithmetic number, because the mean of its divisors is an integer number (1635640776).

Almost surely, 2^105232442340 is an apocalyptic number.

105232442340 is a gapful number since it is divisible by the number (10) 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 105232442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157021514496).

105232442340 is an abundant number, since it is smaller than the sum of its proper divisors (208810586652).

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

105232442340 is a wasteful number, since it uses less digits than its factorization.

105232442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 105232442340 its reverse (43244232501), we get a palindrome (148476674841).

The spelling of 105232442340 in words is "one hundred five billion, two hundred thirty-two million, four hundred forty-two thousand, three hundred forty".