105261230262192 has 80 divisors (see below), whose sum is σ = 281358768672000. Its totient is φ = 33870288347392.

The previous prime is 105261230262161. The next prime is 105261230262229. The reversal of 105261230262192 is 291262032162501.

It is a super-2 number, since 2×105261230262192² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839142 + ... + 14533637.

It is an arithmetic number, because the mean of its divisors is an integer number (3516984608400).

Almost surely, 2^{105261230262192} is an apocalyptic number.

105261230262192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105261230262192 is an abundant number, since it is smaller than the sum of its proper divisors (176097538409808).

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

105261230262192 is a wasteful number, since it uses less digits than its factorization.

105261230262192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15377738 (or 15377732 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 105261230262192 in words is "one hundred five trillion, two hundred sixty-one billion, two hundred thirty million, two hundred sixty-two thousand, one hundred ninety-two".