105234528672 has 576 divisors, whose sum is σ = 385298694144. Its totient is φ = 27512110080.

The previous prime is 105234528643. The next prime is 105234528677. The reversal of 105234528672 is 276825432501.

105234528672 is a `hidden beast` number, since 1 + 0 + 52 + 3 + 4 + 528 + 6 + 72 = 666.

It is a super-3 number, since 3×105234528672³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105234528677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89866647 + ... + 89867817.

It is an arithmetic number, because the mean of its divisors is an integer number (668921344).

Almost surely, 2^105234528672 is an apocalyptic number.

105234528672 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 105234528672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192649347072).

105234528672 is an abundant number, since it is smaller than the sum of its proper divisors (280064165472).

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

105234528672 is a wasteful number, since it uses less digits than its factorization.

105234528672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 105234528672 in words is "one hundred five billion, two hundred thirty-four million, five hundred twenty-eight thousand, six hundred seventy-two".