105345020 has 72 divisors (see below), whose sum is σ = 246141504. Its totient is φ = 37840000.

The previous prime is 105345013. The next prime is 105345029. The reversal of 105345020 is 20543501.

It is a super-2 number, since 2×105345020² = 22195146477600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105344983 and 105345001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105345029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244205 + ... + 244635.

It is an arithmetic number, because the mean of its divisors is an integer number (3418632).

Almost surely, 2^105345020 is an apocalyptic number.

105345020 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 105345020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123070752).

105345020 is an abundant number, since it is smaller than the sum of its proper divisors (140796484).

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

105345020 is a wasteful number, since it uses less digits than its factorization.

105345020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105345020 is about 10263.7722110343. The cubic root of 105345020 is about 472.2855628582.

Adding to 105345020 its reverse (20543501), we get a palindrome (125888521).

The spelling of 105345020 in words is "one hundred five million, three hundred forty-five thousand, twenty".