105250553472 has 64 divisors (see below), whose sum is σ = 282136773600. Its totient is φ = 34761636864.

The previous prime is 105250553293. The next prime is 105250553477. The reversal of 105250553472 is 274355052501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105250553472² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105250553472.

It is not an unprimeable number, because it can be changed into a prime (105250553477) 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 7 ways as a sum of consecutive naturals, for example, 1215438 + ... + 1299149.

Almost surely, 2^105250553472 is an apocalyptic number.

105250553472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105250553472 is an abundant number, since it is smaller than the sum of its proper divisors (176886220128).

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

105250553472 is a wasteful number, since it uses less digits than its factorization.

105250553472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514713 (or 2514701 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 39.

The spelling of 105250553472 in words is "one hundred five billion, two hundred fifty million, five hundred fifty-three thousand, four hundred seventy-two".