105219227672 has 32 divisors (see below), whose sum is σ = 223644111600. Its totient is φ = 46006786944.

The previous prime is 105219227671. The next prime is 105219227681. The reversal of 105219227672 is 276722912501.

It is a super-2 number, since 2×105219227672² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105219227671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26622323 + ... + 26626274.

Almost surely, 2^105219227672 is an apocalyptic number.

It is an amenable number.

105219227672 is an abundant number, since it is smaller than the sum of its proper divisors (118424883928).

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

105219227672 is a wasteful number, since it uses less digits than its factorization.

105219227672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53248635 (or 53248631 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 105219227672 in words is "one hundred five billion, two hundred nineteen million, two hundred twenty-seven thousand, six hundred seventy-two".