105287324688 has 480 divisors, whose sum is σ = 385794057600. Its totient is φ = 27240385536.

The previous prime is 105287324671. The next prime is 105287324713. The reversal of 105287324688 is 886423782501.

105287324688 is a `hidden beast` number, since 1 + 0 + 528 + 7 + 32 + 4 + 6 + 88 = 666.

It is a super-2 number, since 2×105287324688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14581143 + ... + 14588361.

It is an arithmetic number, because the mean of its divisors is an integer number (803737620).

Almost surely, 2^105287324688 is an apocalyptic number.

105287324688 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 105287324688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192897028800).

105287324688 is an abundant number, since it is smaller than the sum of its proper divisors (280506732912).

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

105287324688 is a wasteful number, since it uses less digits than its factorization.

105287324688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 105287324688 in words is "one hundred five billion, two hundred eighty-seven million, three hundred twenty-four thousand, six hundred eighty-eight".