105535010 has 32 divisors (see below), whose sum is σ = 217641600. Its totient is φ = 36093312.

The previous prime is 105535009. The next prime is 105535013. The reversal of 105535010 is 10535501.

It is a happy number.

It is a super-2 number, since 2×105535010² = 22275276671400200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105535013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30341 + ... + 33639.

It is an arithmetic number, because the mean of its divisors is an integer number (6801300).

Almost surely, 2^105535010 is an apocalyptic number.

105535010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105535010 is an abundant number, since it is smaller than the sum of its proper divisors (112106590).

105535010 is a wasteful number, since it uses less digits than its factorization.

105535010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770.

The product of its (nonzero) digits is 375, while the sum is 20.

The square root of 105535010 is about 10273.0234108562. The cubic root of 105535010 is about 472.5693150646.

The spelling of 105535010 in words is "one hundred five million, five hundred thirty-five thousand, ten".