105200420 has 48 divisors (see below), whose sum is σ = 251920368. Its totient is φ = 36556800.

The previous prime is 105200399. The next prime is 105200423. The reversal of 105200420 is 24002501.

It can be written as a sum of positive squares in 8 ways, for example, as 14884 + 105185536 = 122^2 + 10256^2 .

It is a super-2 number, since 2×105200420² = 22134256736352800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105200395 and 105200404.

It is not an unprimeable number, because it can be changed into a prime (105200423) 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, 7481 + ... + 16320.

It is an arithmetic number, because the mean of its divisors is an integer number (5248341).

Almost surely, 2^105200420 is an apocalyptic number.

105200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105200420 is an abundant number, since it is smaller than the sum of its proper divisors (146719948).

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

105200420 is a wasteful number, since it uses less digits than its factorization.

105200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23840 (or 23838 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 105200420 is about 10256.7255983574. The cubic root of 105200420 is about 472.0693724042.

Adding to 105200420 its reverse (24002501), we get a palindrome (129202921).

The spelling of 105200420 in words is "one hundred five million, two hundred thousand, four hundred twenty".