105435420 has 24 divisors (see below), whose sum is σ = 295219344. Its totient is φ = 28116096.

The previous prime is 105435413. The next prime is 105435431. The reversal of 105435420 is 24534501.

105435420 = 1604² + 1605² + ... + 1643².

It is a super-2 number, since 2×105435420² = 22233255581152800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878569 + ... + 878688.

It is an arithmetic number, because the mean of its divisors is an integer number (12300806).

Almost surely, 2^105435420 is an apocalyptic number.

105435420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105435420 is an abundant number, since it is smaller than the sum of its proper divisors (189783924).

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

105435420 is a wasteful number, since it uses less digits than its factorization.

105435420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757269 (or 1757267 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105435420 is about 10268.1751056359. The cubic root of 105435420 is about 472.4206187857.

Adding to 105435420 its reverse (24534501), we get a palindrome (129969921).

The spelling of 105435420 in words is "one hundred five million, four hundred thirty-five thousand, four hundred twenty".