105201312112 has 20 divisors (see below), whose sum is σ = 219506584360. Its totient is φ = 48554451648.

The previous prime is 105201312089. The next prime is 105201312113. The reversal of 105201312112 is 211213102501.

It is a super-2 number, since 2×105201312112² (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 105201312112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105201312113) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 252887562 + ... + 252887977.

It is an arithmetic number, because the mean of its divisors is an integer number (10975329218).

Almost surely, 2^105201312112 is an apocalyptic number.

It is an amenable number.

105201312112 is an abundant number, since it is smaller than the sum of its proper divisors (114305272248).

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

105201312112 is a wasteful number, since it uses less digits than its factorization.

105201312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505775560 (or 505775554 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 105201312112 its reverse (211213102501), we get a palindrome (316414414613).

The spelling of 105201312112 in words is "one hundred five billion, two hundred one million, three hundred twelve thousand, one hundred twelve".