105764641700 has 18 divisors (see below), whose sum is σ = 229509272706. Its totient is φ = 42305856640.

The previous prime is 105764641679. The next prime is 105764641739. The reversal of 105764641700 is 7146467501.

It can be written as a sum of positive squares in 3 ways, for example, as 37526663524 + 68237978176 = 193718^2 + 261224^2 .

It is a super-2 number, since 2×105764641700² (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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 528823109 + ... + 528823308.

Almost surely, 2^105764641700 is an apocalyptic number.

105764641700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105764641700 is an abundant number, since it is smaller than the sum of its proper divisors (123744631006).

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

105764641700 is a wasteful number, since it uses less digits than its factorization.

105764641700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057646431 (or 1057646424 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 105764641700 in words is "one hundred five billion, seven hundred sixty-four million, six hundred forty-one thousand, seven hundred".