105832506080 has 96 divisors (see below), whose sum is σ = 285817351680. Its totient is φ = 36276595200.

The previous prime is 105832506029. The next prime is 105832506083. The reversal of 105832506080 is 80605238501.

It is a super-2 number, since 2×105832506080² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105832506083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5984291 + ... + 6001949.

It is an arithmetic number, because the mean of its divisors is an integer number (2977264080).

Almost surely, 2^105832506080 is an apocalyptic number.

105832506080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105832506080 is an abundant number, since it is smaller than the sum of its proper divisors (179984845600).

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

105832506080 is a wasteful number, since it uses less digits than its factorization.

105832506080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23032 (or 23024 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 105832506080 in words is "one hundred five billion, eight hundred thirty-two million, five hundred six thousand, eighty".