105205020 has 24 divisors (see below), whose sum is σ = 294574224. Its totient is φ = 28054656.

The previous prime is 105205007. The next prime is 105205021. The reversal of 105205020 is 20502501.

It is a super-2 number, since 2×105205020² = 22136192466400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105205021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 876649 + ... + 876768.

It is an arithmetic number, because the mean of its divisors is an integer number (12273926).

Almost surely, 2^105205020 is an apocalyptic number.

105205020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105205020 is an abundant number, since it is smaller than the sum of its proper divisors (189369204).

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

105205020 is a wasteful number, since it uses less digits than its factorization.

105205020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753429 (or 1753427 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 105205020 is about 10256.9498390116. The cubic root of 105205020 is about 472.0762528820.

Adding to 105205020 its reverse (20502501), we get a palindrome (125707521).

The spelling of 105205020 in words is "one hundred five million, two hundred five thousand, twenty".