105008372784 has 600 divisors, whose sum is σ = 374138303616. Its totient is φ = 28304640000.

The previous prime is 105008372761. The next prime is 105008372789. The reversal of 105008372784 is 487273800501.

105008372784 is a `hidden beast` number, since 1 + 0 + 500 + 8 + 3 + 72 + 78 + 4 = 666.

It is a super-2 number, since 2×105008372784² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105008372789) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80712934 + ... + 80714234.

Almost surely, 2^105008372784 is an apocalyptic number.

105008372784 is a gapful number since it is divisible by the number (14) 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 105008372784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187069151808).

105008372784 is an abundant number, since it is smaller than the sum of its proper divisors (269129930832).

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

105008372784 is a wasteful number, since it uses less digits than its factorization.

105008372784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 105008372784 in words is "one hundred five billion, eight million, three hundred seventy-two thousand, seven hundred eighty-four".