105403440215340 has 144 divisors (see below), whose sum is σ = 320949495030528. Its totient is φ = 28000033022592.

The previous prime is 105403440215329. The next prime is 105403440215363. The reversal of 105403440215340 is 43512044304501.

105403440215340 is a `hidden beast` number, since 1 + 0 + 5 + 403 + 4 + 4 + 0 + 215 + 34 + 0 = 666.

It is a super-2 number, since 2×105403440215340² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105403440215295 and 105403440215304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48284719 + ... + 50420441.

It is an arithmetic number, because the mean of its divisors is an integer number (2228815937712).

Almost surely, 2^{105403440215340} is an apocalyptic number.

105403440215340 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 105403440215340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160474747515264).

105403440215340 is an abundant number, since it is smaller than the sum of its proper divisors (215546054815188).

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

105403440215340 is a wasteful number, since it uses less digits than its factorization.

105403440215340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136788 (or 2136783 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 105403440215340 its reverse (43512044304501), we get a palindrome (148915484519841).

The spelling of 105403440215340 in words is "one hundred five trillion, four hundred three billion, four hundred forty million, two hundred fifteen thousand, three hundred forty".