105575680 has 72 divisors (see below), whose sum is σ = 289037952. Its totient is φ = 36194304.

The previous prime is 105575653. The next prime is 105575693. The reversal of 105575680 is 86575501.

It is a super-2 number, since 2×105575680² = 22292448414924800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3069 + ... + 14851.

It is an arithmetic number, because the mean of its divisors is an integer number (4014416).

Almost surely, 2^105575680 is an apocalyptic number.

105575680 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 105575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144518976).

105575680 is an abundant number, since it is smaller than the sum of its proper divisors (183462272).

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

105575680 is an equidigital number, since it uses as much as digits as its factorization.

105575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11811 (or 11797 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 37.

The square root of 105575680 is about 10275.0026763987. The cubic root of 105575680 is about 472.6300119073.

The spelling of 105575680 in words is "one hundred five million, five hundred seventy-five thousand, six hundred eighty".