105302420 has 24 divisors (see below), whose sum is σ = 234143784. Its totient is φ = 39643136.

The previous prime is 105302411. The next prime is 105302489. The reversal of 105302420 is 24203501.

It can be written as a sum of positive squares in 4 ways, for example, as 42354064 + 62948356 = 6508^2 + 7934^2 .

It is a super-2 number, since 2×105302420² = 22177199315712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154517 + ... + 155196.

It is an arithmetic number, because the mean of its divisors is an integer number (9755991).

Almost surely, 2^105302420 is an apocalyptic number.

105302420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105302420 is an abundant number, since it is smaller than the sum of its proper divisors (128841364).

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

105302420 is a wasteful number, since it uses less digits than its factorization.

105302420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309739 (or 309737 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 105302420 is about 10261.6967407929. The cubic root of 105302420 is about 472.2218924616.

Adding to 105302420 its reverse (24203501), we get a palindrome (129505921).

The spelling of 105302420 in words is "one hundred five million, three hundred two thousand, four hundred twenty".