105368252832 has 72 divisors (see below), whose sum is σ = 312668856864. Its totient is φ = 33595672704.

The previous prime is 105368252819. The next prime is 105368252911. The reversal of 105368252832 is 238252863501.

105368252832 is a `hidden beast` number, since 1 + 0 + 5 + 368 + 2 + 5 + 283 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105368252832² (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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7946898 + ... + 7960145.

It is an arithmetic number, because the mean of its divisors is an integer number (4342623012).

Almost surely, 2^105368252832 is an apocalyptic number.

105368252832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105368252832 is an abundant number, since it is smaller than the sum of its proper divisors (207300604032).

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

105368252832 is a wasteful number, since it uses less digits than its factorization.

105368252832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15907082 (or 15907071 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 105368252832 in words is "one hundred five billion, three hundred sixty-eight million, two hundred fifty-two thousand, eight hundred thirty-two".