105976743840 has 1152 divisors, whose sum is σ = 441703342080. Its totient is φ = 22842777600.

The previous prime is 105976743827. The next prime is 105976743863. The reversal of 105976743840 is 48347679501.

105976743840 is a `hidden beast` number, since 1 + 0 + 597 + 6 + 7 + 4 + 3 + 8 + 40 = 666.

It is a super-2 number, since 2×105976743840² (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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 345200967 + ... + 345201273.

It is an arithmetic number, because the mean of its divisors is an integer number (383423040).

Almost surely, 2^105976743840 is an apocalyptic number.

105976743840 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 105976743840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220851671040).

105976743840 is an abundant number, since it is smaller than the sum of its proper divisors (335726598240).

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

105976743840 is a wasteful number, since it uses less digits than its factorization.

105976743840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 105976743840 in words is "one hundred five billion, nine hundred seventy-six million, seven hundred forty-three thousand, eight hundred forty".