105005305404240 has 160 divisors (see below), whose sum is σ = 330636228569856. Its totient is φ = 27562281922560.

The previous prime is 105005305404211. The next prime is 105005305404269. The reversal of 105005305404240 is 42404503500501.

It is an interprime number because it is at equal distance from previous prime (105005305404211) and next prime (105005305404269).

It is a super-2 number, since 2×105005305404240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5519934 + ... + 15507426.

Almost surely, 2^{105005305404240} is an apocalyptic number.

105005305404240 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 105005305404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165318114284928).

105005305404240 is an abundant number, since it is smaller than the sum of its proper divisors (225630923165616).

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

105005305404240 is a wasteful number, since it uses less digits than its factorization.

105005305404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988197 (or 9988191 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 105005305404240 its reverse (42404503500501), we get a palindrome (147409808904741).

The spelling of 105005305404240 in words is "one hundred five trillion, five billion, three hundred five million, four hundred four thousand, two hundred forty".