105240420 has 72 divisors (see below), whose sum is σ = 330253560. Its totient is φ = 27095040.

The previous prime is 105240413. The next prime is 105240463. The reversal of 105240420 is 24042501.

105240420 is a `hidden beast` number, since 1 + 0 + 5 + 240 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16842816 + 88397604 = 4104^2 + 9402^2 .

It is a super-2 number, since 2×105240420² = 22151092003552800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105240393 and 105240402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4861 + ... + 15300.

It is an arithmetic number, because the mean of its divisors is an integer number (4586855).

Almost surely, 2^105240420 is an apocalyptic number.

105240420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105240420 is an abundant number, since it is smaller than the sum of its proper divisors (225013140).

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

105240420 is a wasteful number, since it uses less digits than its factorization.

105240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20205 (or 20200 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 105240420 is about 10258.6753530853. The cubic root of 105240420 is about 472.1291959365.

Adding to 105240420 its reverse (24042501), we get a palindrome (129282921).

The spelling of 105240420 in words is "one hundred five million, two hundred forty thousand, four hundred twenty".