105937543872 has 140 divisors (see below), whose sum is σ = 318008386080. Its totient is φ = 34865385984.

The previous prime is 105937543849. The next prime is 105937543883. The reversal of 105937543872 is 278345739501.

105937543872 is a `hidden beast` number, since 1 + 0 + 5 + 93 + 7 + 543 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×105937543872² (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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 280198 + ... + 538874.

It is an arithmetic number, because the mean of its divisors is an integer number (2271488472).

Almost surely, 2^105937543872 is an apocalyptic number.

105937543872 is a gapful number since it is divisible by the number (12) 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 105937543872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159004193040).

105937543872 is an abundant number, since it is smaller than the sum of its proper divisors (212070842208).

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

105937543872 is an equidigital number, since it uses as much as digits as its factorization.

105937543872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258780 (or 258761 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 105937543872 in words is "one hundred five billion, nine hundred thirty-seven million, five hundred forty-three thousand, eight hundred seventy-two".