105012020 has 48 divisors (see below), whose sum is σ = 235509120. Its totient is φ = 39236736.

The previous prime is 105012001. The next prime is 105012041. The reversal of 105012020 is 20210501.

It is a super-2 number, since 2×105012020² = 22055048688960800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105011992 and 105012010.

It is a congruent number.

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, 17126 + ... + 22434.

It is an arithmetic number, because the mean of its divisors is an integer number (4906440).

Almost surely, 2^105012020 is an apocalyptic number.

105012020 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 105012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117754560).

105012020 is an abundant number, since it is smaller than the sum of its proper divisors (130497100).

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

105012020 is a wasteful number, since it uses less digits than its factorization.

105012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 105012020 is about 10247.5372651189. The cubic root of 105012020 is about 471.7873994659.

Adding to 105012020 its reverse (20210501), we get a palindrome (125222521).

It can be divided in two parts, 10501 and 2020, that added together give a palindrome (12521).

The spelling of 105012020 in words is "one hundred five million, twelve thousand, twenty".