105105311142 has 48 divisors (see below), whose sum is σ = 229834695168. Its totient is φ = 32026082400.

The previous prime is 105105311119. The next prime is 105105311147. The reversal of 105105311142 is 241113501501.

It is a super-3 number, since 3×105105311142³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105311147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398734 + ... + 607617.

It is an arithmetic number, because the mean of its divisors is an integer number (4788222816).

Almost surely, 2^105105311142 is an apocalyptic number.

105105311142 is an abundant number, since it is smaller than the sum of its proper divisors (124729384026).

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

105105311142 is a wasteful number, since it uses less digits than its factorization.

105105311142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006485 (or 1006472 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 105105311142 its reverse (241113501501), we get a palindrome (346218812643).

The spelling of 105105311142 in words is "one hundred five billion, one hundred five million, three hundred eleven thousand, one hundred forty-two".