105852785351936 has 72 divisors (see below), whose sum is σ = 241490050389504. Its totient is φ = 45362965063680.

The previous prime is 105852785351933. The next prime is 105852785351947. The reversal of 105852785351936 is 639153587258501.

It is a super-2 number, since 2×105852785351936² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105852785351933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30884366 + ... + 34140146.

It is an arithmetic number, because the mean of its divisors is an integer number (3354028477632).

Almost surely, 2^{105852785351936} is an apocalyptic number.

105852785351936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105852785351936 is an abundant number, since it is smaller than the sum of its proper divisors (135637265037568).

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

105852785351936 is an equidigital number, since it uses as much as digits as its factorization.

105852785351936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273947 (or 3273933 counting only the distinct ones).

The product of its (nonzero) digits is 272160000, while the sum is 68.

The spelling of 105852785351936 in words is "one hundred five trillion, eight hundred fifty-two billion, seven hundred eighty-five million, three hundred fifty-one thousand, nine hundred thirty-six".