105287285376 has 1024 divisors, whose sum is σ = 414554112000. Its totient is φ = 25517555712.

The previous prime is 105287285371. The next prime is 105287285417. The reversal of 105287285376 is 673582782501.

105287285376 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 87 + 28 + 537 + 6 = 666.

It is a super-2 number, since 2×105287285376² (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 not an unprimeable number, because it can be changed into a prime (105287285371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251282095 + ... + 251282513.

It is an arithmetic number, because the mean of its divisors is an integer number (404838000).

Almost surely, 2^105287285376 is an apocalyptic number.

105287285376 is a gapful number since it is divisible by the number (16) 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 105287285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207277056000).

105287285376 is an abundant number, since it is smaller than the sum of its proper divisors (309266826624).

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

105287285376 is a wasteful number, since it uses less digits than its factorization.

105287285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 105287285376 in words is "one hundred five billion, two hundred eighty-seven million, two hundred eighty-five thousand, three hundred seventy-six".