105938573700 has 108 divisors (see below), whose sum is σ = 308430811248. Its totient is φ = 28074859200.

The previous prime is 105938573621. The next prime is 105938573701. The reversal of 105938573700 is 7375839501.

It is a super-2 number, since 2×105938573700² (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 105938573700.

It is not an unprimeable number, because it can be changed into a prime (105938573701) 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 35 ways as a sum of consecutive naturals, for example, 7964055 + ... + 7977345.

Almost surely, 2^105938573700 is an apocalyptic number.

105938573700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105938573700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154215405624).

105938573700 is an abundant number, since it is smaller than the sum of its proper divisors (202492237548).

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

105938573700 is a wasteful number, since it uses less digits than its factorization.

105938573700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634 (or 13464 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 105938573700 in words is "one hundred five billion, nine hundred thirty-eight million, five hundred seventy-three thousand, seven hundred".