105410440500 has 96 divisors (see below), whose sum is σ = 307567653120. Its totient is φ = 28053366400.

The previous prime is 105410440351. The next prime is 105410440511. The reversal of 105410440500 is 5044014501.

It is a happy number.

It is a super-2 number, since 2×105410440500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684646 + ... + 824354.

It is an arithmetic number, because the mean of its divisors is an integer number (3203829720).

Almost surely, 2^105410440500 is an apocalyptic number.

105410440500 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 105410440500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153783826560).

105410440500 is an abundant number, since it is smaller than the sum of its proper divisors (202157212620).

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

105410440500 is a wasteful number, since it uses less digits than its factorization.

105410440500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140234 (or 140222 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 105410440500 in words is "one hundred five billion, four hundred ten million, four hundred forty thousand, five hundred".