105433138272 has 96 divisors (see below), whose sum is σ = 345053931264. Its totient is φ = 27385228800.

The previous prime is 105433138211. The next prime is 105433138277. The reversal of 105433138272 is 272831334501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105433138272² (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 105433138272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105433138277) 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, 7124179 + ... + 7138962.

It is an arithmetic number, because the mean of its divisors is an integer number (3594311784).

Almost surely, 2^105433138272 is an apocalyptic number.

105433138272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105433138272 is an abundant number, since it is smaller than the sum of its proper divisors (239620792992).

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

105433138272 is a wasteful number, since it uses less digits than its factorization.

105433138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14263172 (or 14263164 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 105433138272 in words is "one hundred five billion, four hundred thirty-three million, one hundred thirty-eight thousand, two hundred seventy-two".