105246132768 has 864 divisors, whose sum is σ = 383485415040. Its totient is φ = 26767319040.

The previous prime is 105246132757. The next prime is 105246132841. The reversal of 105246132768 is 867231642501.

105246132768 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 4 + 613 + 27 + 6 + 8 = 666.

It is a super-2 number, since 2×105246132768² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1268025655 + ... + 1268025737.

It is an arithmetic number, because the mean of its divisors is an integer number (443848860).

Almost surely, 2^105246132768 is an apocalyptic number.

105246132768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105246132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191742707520).

105246132768 is an abundant number, since it is smaller than the sum of its proper divisors (278239282272).

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

105246132768 is a wasteful number, since it uses less digits than its factorization.

105246132768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 105246132768 in words is "one hundred five billion, two hundred forty-six million, one hundred thirty-two thousand, seven hundred sixty-eight".