105535014312 has 128 divisors (see below), whose sum is σ = 324839208960. Its totient is φ = 27823461120.

The previous prime is 105535014307. The next prime is 105535014313. The reversal of 105535014312 is 213410535501.

It is a super-2 number, since 2×105535014312² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105535014312.

It is not an unprimeable number, because it can be changed into a prime (105535014313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7661143 + ... + 7674905.

It is an arithmetic number, because the mean of its divisors is an integer number (2537806320).

Almost surely, 2^105535014312 is an apocalyptic number.

105535014312 is a gapful number since it is divisible by the number (12) 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 105535014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162419604480).

105535014312 is an abundant number, since it is smaller than the sum of its proper divisors (219304194648).

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

105535014312 is a wasteful number, since it uses less digits than its factorization.

105535014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17303 (or 17299 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 105535014312 its reverse (213410535501), we get a palindrome (318945549813).

The spelling of 105535014312 in words is "one hundred five billion, five hundred thirty-five million, fourteen thousand, three hundred twelve".