105735080 has 64 divisors (see below), whose sum is σ = 263995200. Its totient is φ = 37788160.

The previous prime is 105735067. The next prime is 105735083. The reversal of 105735080 is 80537501.

It is a super-2 number, since 2×105735080² = 22359814285212800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105735083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23924 + ... + 27996.

It is an arithmetic number, because the mean of its divisors is an integer number (4124925).

Almost surely, 2^105735080 is an apocalyptic number.

105735080 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 105735080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131997600).

105735080 is an abundant number, since it is smaller than the sum of its proper divisors (158260120).

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

105735080 is a wasteful number, since it uses less digits than its factorization.

105735080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 105735080 is about 10282.7564397879. The cubic root of 105735080 is about 472.8677539723.

The spelling of 105735080 in words is "one hundred five million, seven hundred thirty-five thousand, eighty".