113105432440 has 192 divisors, whose sum is σ = 344279033280. Its totient is φ = 32541696000.

The previous prime is 113105432411. The next prime is 113105432441. The reversal of 113105432440 is 44234501311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 113105432399 and 113105432408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113105432441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312040 + ... + 568840.

It is an arithmetic number, because the mean of its divisors is an integer number (1793119965).

Almost surely, 2^113105432440 is an apocalyptic number.

113105432440 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 113105432440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172139516640).

113105432440 is an abundant number, since it is smaller than the sum of its proper divisors (231173600840).

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

113105432440 is a wasteful number, since it uses less digits than its factorization.

113105432440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256854 (or 256839 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 113105432440 its reverse (44234501311), we get a palindrome (157339933751).

It can be divided in two parts, 113105 and 432440, that added together give a palindrome (545545).

The spelling of 113105432440 in words is "one hundred thirteen billion, one hundred five million, four hundred thirty-two thousand, four hundred forty".