105234142120 has 32 divisors (see below), whose sum is σ = 238284966600. Its totient is φ = 41825541888.

The previous prime is 105234142081. The next prime is 105234142129. The reversal of 105234142120 is 21241432501.

It can be written as a sum of positive squares in 4 ways, for example, as 91202792004 + 14031350116 = 301998^2 + 118454^2 .

It is a super-2 number, since 2×105234142120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105234142129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8372235 + ... + 8384794.

Almost surely, 2^105234142120 is an apocalyptic number.

105234142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105234142120 is an abundant number, since it is smaller than the sum of its proper divisors (133050824480).

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

105234142120 is a wasteful number, since it uses less digits than its factorization.

105234142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16757197 (or 16757193 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 105234142120 its reverse (21241432501), we get a palindrome (126475574621).

The spelling of 105234142120 in words is "one hundred five billion, two hundred thirty-four million, one hundred forty-two thousand, one hundred twenty".