105852660048 has 60 divisors (see below), whose sum is σ = 304246943988. Its totient is φ = 34330590720.

The previous prime is 105852660029. The next prime is 105852660091. The reversal of 105852660048 is 840066258501.

105852660048 is a `hidden beast` number, since 1 + 0 + 585 + 2 + 6 + 60 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47756235024 + 58096425024 = 218532^2 + 241032^2 .

It is a super-2 number, since 2×105852660048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105852659985 and 105852660012.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9928293 + ... + 9938948.

Almost surely, 2^105852660048 is an apocalyptic number.

105852660048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105852660048 is an abundant number, since it is smaller than the sum of its proper divisors (198394283940).

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

105852660048 is a wasteful number, since it uses less digits than its factorization.

105852660048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19867292 (or 19867283 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 105852660048 in words is "one hundred five billion, eight hundred fifty-two million, six hundred sixty thousand, forty-eight".