105311340000 has 840 divisors, whose sum is σ = 402696245952. Its totient is φ = 27060480000.

The previous prime is 105311339933. The next prime is 105311340041. The reversal of 105311340000 is 43113501.

105311340000 is a `hidden beast` number, since 1 + 0 + 531 + 134 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×105311340000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 451979884 + ... + 451980116.

Almost surely, 2^105311340000 is an apocalyptic number.

105311340000 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 105311340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201348122976).

105311340000 is an abundant number, since it is smaller than the sum of its proper divisors (297384905952).

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

105311340000 is an frugal number, since it uses more digits than its factorization.

105311340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 105311340000 its reverse (43113501), we get a palindrome (105354453501).

It can be divided in two parts, 10531 and 1340000, that added together give a palindrome (1350531).

The spelling of 105311340000 in words is "one hundred five billion, three hundred eleven million, three hundred forty thousand".