105573848640 has 224 divisors, whose sum is σ = 365334109056. Its totient is φ = 25674055680.

The previous prime is 105573848629. The next prime is 105573848687. The reversal of 105573848640 is 46848375501.

It is a super-2 number, since 2×105573848640² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 984880 + ... + 1086800.

It is an arithmetic number, because the mean of its divisors is an integer number (1630955844).

Almost surely, 2^105573848640 is an apocalyptic number.

105573848640 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 105573848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182667054528).

105573848640 is an abundant number, since it is smaller than the sum of its proper divisors (259760260416).

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

105573848640 is a wasteful number, since it uses less digits than its factorization.

105573848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102037 (or 102027 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 105573848640 in words is "one hundred five billion, five hundred seventy-three million, eight hundred forty-eight thousand, six hundred forty".