105072161712 has 80 divisors (see below), whose sum is σ = 312655798272. Its totient is φ = 29784222720.

The previous prime is 105072161683. The next prime is 105072161717. The reversal of 105072161712 is 217161270501.

105072161712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105072161712² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105072161717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188489 + ... + 1273832.

Almost surely, 2^105072161712 is an apocalyptic number.

105072161712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105072161712 is an abundant number, since it is smaller than the sum of its proper divisors (207583636560).

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

105072161712 is a wasteful number, since it uses less digits than its factorization.

105072161712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462466 (or 2462460 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 33.

The spelling of 105072161712 in words is "one hundred five billion, seventy-two million, one hundred sixty-one thousand, seven hundred twelve".