105540110312 has 256 divisors, whose sum is σ = 264600000000. Its totient is φ = 38300221440.

The previous prime is 105540110279. The next prime is 105540110339. The reversal of 105540110312 is 213011045501.

It is a super-2 number, since 2×105540110312² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84499064 + ... + 84500312.

It is an arithmetic number, because the mean of its divisors is an integer number (1033593750).

Almost surely, 2^105540110312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105540110312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132300000000).

105540110312 is an abundant number, since it is smaller than the sum of its proper divisors (159059889688).

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

105540110312 is a wasteful number, since it uses less digits than its factorization.

105540110312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 105540110312 its reverse (213011045501), we get a palindrome (318551155813).

The spelling of 105540110312 in words is "one hundred five billion, five hundred forty million, one hundred ten thousand, three hundred twelve".