105843488832 has 56 divisors (see below), whose sum is σ = 311160261600. Its totient is φ = 35281162368.

The previous prime is 105843488813. The next prime is 105843488867. The reversal of 105843488832 is 238884348501.

105843488832 is a `hidden beast` number, since 1 + 0 + 5 + 84 + 3 + 488 + 83 + 2 = 666.

It is a super-2 number, since 2×105843488832² (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 7 ways as a sum of consecutive naturals, for example, 30624282 + ... + 30627737.

Almost surely, 2^105843488832 is an apocalyptic number.

105843488832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105843488832 is an abundant number, since it is smaller than the sum of its proper divisors (205316772768).

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

105843488832 is an equidigital number, since it uses as much as digits as its factorization.

105843488832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61252040 (or 61252024 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 105843488832 in words is "one hundred five billion, eight hundred forty-three million, four hundred eighty-eight thousand, eight hundred thirty-two".