105832519440 has 160 divisors (see below), whose sum is σ = 358585906176. Its totient is φ = 25705021440.

The previous prime is 105832519433. The next prime is 105832519489. The reversal of 105832519440 is 44915238501.

It is a super-2 number, since 2×105832519440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105832519392 and 105832519401.

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, 291897 + ... + 544856.

Almost surely, 2^105832519440 is an apocalyptic number.

105832519440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105832519440 is an abundant number, since it is smaller than the sum of its proper divisors (252753386736).

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

105832519440 is a wasteful number, since it uses less digits than its factorization.

105832519440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836817 (or 836811 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 105832519440 in words is "one hundred five billion, eight hundred thirty-two million, five hundred nineteen thousand, four hundred forty".