105242020 has 48 divisors (see below), whose sum is σ = 248371200. Its totient is φ = 37166976.

The previous prime is 105241999. The next prime is 105242057. The reversal of 105242020 is 20242501.

It is a super-2 number, since 2×105242020² = 22151765547360800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105241985 and 105242003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2820 + ... + 14779.

It is an arithmetic number, because the mean of its divisors is an integer number (5174400).

Almost surely, 2^105242020 is an apocalyptic number.

105242020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105242020 is an abundant number, since it is smaller than the sum of its proper divisors (143129180).

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

105242020 is a wasteful number, since it uses less digits than its factorization.

105242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17644 (or 17642 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 105242020 is about 10258.7533355667. The cubic root of 105242020 is about 472.1315885625.

Adding to 105242020 its reverse (20242501), we get a palindrome (125484521).

It can be divided in two parts, 10524 and 2020, that added together give a square (12544 = 112²).

The spelling of 105242020 in words is "one hundred five million, two hundred forty-two thousand, twenty".