105535020 has 48 divisors (see below), whose sum is σ = 296805600. Its totient is φ = 28018176.

The previous prime is 105535013. The next prime is 105535021. The reversal of 105535020 is 20535501.

It is a super-3 number, since 3×105535020³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105535021) 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, 10206 + ... + 17754.

It is an arithmetic number, because the mean of its divisors is an integer number (6183450).

Almost surely, 2^105535020 is an apocalyptic number.

105535020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105535020 is an abundant number, since it is smaller than the sum of its proper divisors (191270580).

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

105535020 is a wasteful number, since it uses less digits than its factorization.

105535020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 105535020 is about 10273.0238975678. The cubic root of 105535020 is about 472.5693299908.

The spelling of 105535020 in words is "one hundred five million, five hundred thirty-five thousand, twenty".