105775660 has 48 divisors (see below), whose sum is σ = 235317600. Its totient is φ = 39826944.

The previous prime is 105775619. The next prime is 105775669. The reversal of 105775660 is 66577501.

It is a super-2 number, since 2×105775660² = 22376980496871200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105775669) 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, 64936 + ... + 66544.

It is an arithmetic number, because the mean of its divisors is an integer number (4902450).

Almost surely, 2^105775660 is an apocalyptic number.

105775660 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 105775660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117658800).

105775660 is an abundant number, since it is smaller than the sum of its proper divisors (129541940).

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

105775660 is a wasteful number, since it uses less digits than its factorization.

105775660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 105775660 is about 10284.7294568209. The cubic root of 105775660 is about 472.9282401078.

The spelling of 105775660 in words is "one hundred five million, seven hundred seventy-five thousand, six hundred sixty".