105765230553700 has 18 divisors (see below), whose sum is σ = 229510550301746. Its totient is φ = 42306092221440.

The previous prime is 105765230553691. The next prime is 105765230553721. The reversal of 105765230553700 is 7355032567501.

It can be written as a sum of positive squares in 3 ways, for example, as 31547970430564 + 74217260123136 = 5616758^2 + 8614944^2 .

It is a super-2 number, since 2×105765230553700² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 528826152669 + ... + 528826152868.

Almost surely, 2^{105765230553700} is an apocalyptic number.

105765230553700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105765230553700 is an abundant number, since it is smaller than the sum of its proper divisors (123745319748046).

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

105765230553700 is a wasteful number, since it uses less digits than its factorization.

105765230553700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057652305551 (or 1057652305544 counting only the distinct ones).

The product of its (nonzero) digits is 3307500, while the sum is 49.

The spelling of 105765230553700 in words is "one hundred five trillion, seven hundred sixty-five billion, two hundred thirty million, five hundred fifty-three thousand, seven hundred".