105055404340 has 24 divisors (see below), whose sum is σ = 220638133800. Its totient is φ = 42018012288.

The previous prime is 105055404331. The next prime is 105055404347. The reversal of 105055404340 is 43404550501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17063674384 + 87991729956 = 130628^2 + 296634^2 .

It is a super-2 number, since 2×105055404340² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055404347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47515 + ... + 460834.

It is an arithmetic number, because the mean of its divisors is an integer number (9193255575).

Almost surely, 2^105055404340 is an apocalyptic number.

105055404340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105055404340 is an abundant number, since it is smaller than the sum of its proper divisors (115582729460).

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

105055404340 is a wasteful number, since it uses less digits than its factorization.

105055404340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518691 (or 518689 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 105055404340 its reverse (43404550501), we get a palindrome (148459954841).

The spelling of 105055404340 in words is "one hundred five billion, fifty-five million, four hundred four thousand, three hundred forty".