105297980112 has 120 divisors (see below), whose sum is σ = 317446182144. Its totient is φ = 32390214912.

The previous prime is 105297980087. The next prime is 105297980113. The reversal of 105297980112 is 211089792501.

105297980112 is a `hidden beast` number, since 1 + 0 + 529 + 7 + 9 + 8 + 0 + 112 = 666.

It is a super-2 number, since 2×105297980112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105297980113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9921913 + ... + 9932519.

Almost surely, 2^105297980112 is an apocalyptic number.

105297980112 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 105297980112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158723091072).

105297980112 is an abundant number, since it is smaller than the sum of its proper divisors (212148202032).

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

105297980112 is a wasteful number, since it uses less digits than its factorization.

105297980112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15937 (or 15928 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 105297980112 in words is "one hundred five billion, two hundred ninety-seven million, nine hundred eighty thousand, one hundred twelve".