105272674220532 has 72 divisors (see below), whose sum is σ = 307720124666976. Its totient is φ = 27764221770432.

The previous prime is 105272674220509. The next prime is 105272674220543. The reversal of 105272674220532 is 235022476272501.

It is a happy number.

It is a super-2 number, since 2×105272674220532² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6885960058 + ... + 6885975345.

Almost surely, 2^{105272674220532} is an apocalyptic number.

105272674220532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105272674220532 is an abundant number, since it is smaller than the sum of its proper divisors (202447450446444).

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

105272674220532 is a wasteful number, since it uses less digits than its factorization.

105272674220532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13771935437 (or 13771935428 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 105272674220532 in words is "one hundred five trillion, two hundred seventy-two billion, six hundred seventy-four million, two hundred twenty thousand, five hundred thirty-two".