105273732900 has 144 divisors (see below), whose sum is σ = 353812215680. Its totient is φ = 23668070400.

The previous prime is 105273732899. The next prime is 105273732911. The reversal of 105273732900 is 9237372501.

It is a super-2 number, since 2×105273732900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 282805 + ... + 539004.

Almost surely, 2^105273732900 is an apocalyptic number.

105273732900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105273732900 is an abundant number, since it is smaller than the sum of its proper divisors (248538482780).

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

105273732900 is a wasteful number, since it uses less digits than its factorization.

105273732900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821894 (or 821887 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The spelling of 105273732900 in words is "one hundred five billion, two hundred seventy-three million, seven hundred thirty-two thousand, nine hundred".