105871184640 has 432 divisors, whose sum is σ = 395420695488. Its totient is φ = 25998557184.

The previous prime is 105871184611. The next prime is 105871184689. The reversal of 105871184640 is 46481178501.

105871184640 is a `hidden beast` number, since 1 + 0 + 587 + 1 + 1 + 8 + 4 + 64 + 0 = 666.

It is a super-2 number, since 2×105871184640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 119358277 + ... + 119359163.

It is an arithmetic number, because the mean of its divisors is an integer number (915325684).

Almost surely, 2^105871184640 is an apocalyptic number.

105871184640 is a gapful number since it is divisible by the number (10) 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 105871184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197710347744).

105871184640 is an abundant number, since it is smaller than the sum of its proper divisors (289549510848).

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

105871184640 is a wasteful number, since it uses less digits than its factorization.

105871184640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 105871184640 in words is "one hundred five billion, eight hundred seventy-one million, one hundred eighty-four thousand, six hundred forty".