105272943624 has 32 divisors (see below), whose sum is σ = 292424844000. Its totient is φ = 35090981136.

The previous prime is 105272943623. The next prime is 105272943631. The reversal of 105272943624 is 426349272501.

105272943624 is a `hidden beast` number, since 1 + 0 + 527 + 2 + 94 + 36 + 2 + 4 = 666.

It is a super-3 number, since 3×105272943624³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105272943624.

It is not an unprimeable number, because it can be changed into a prime (105272943623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243687154 + ... + 243687585.

It is an arithmetic number, because the mean of its divisors is an integer number (9138276375).

Almost surely, 2^105272943624 is an apocalyptic number.

It is an amenable number.

105272943624 is an abundant number, since it is smaller than the sum of its proper divisors (187151900376).

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

105272943624 is a wasteful number, since it uses less digits than its factorization.

105272943624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487374754 (or 487374744 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 105272943624 in words is "one hundred five billion, two hundred seventy-two million, nine hundred forty-three thousand, six hundred twenty-four".