420105735 has 24 divisors (see below), whose sum is σ = 832210080. Its totient is φ = 192048192.

The previous prime is 420105703. The next prime is 420105737. The reversal of 420105735 is 537501024.

It is a happy number.

It is not a de Polignac number, because 420105735 - 2⁵ = 420105703 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420105699 and 420105708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420105737) 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, 666520 + ... + 667149.

It is an arithmetic number, because the mean of its divisors is an integer number (34675420).

Almost surely, 2^420105735 is an apocalyptic number.

420105735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420105735 is a deficient number, since it is larger than the sum of its proper divisors (412104345).

420105735 is a wasteful number, since it uses less digits than its factorization.

420105735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333687 (or 1333684 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 420105735 is about 20496.4810394370. The cubic root of 420105735 is about 748.9500775697.

Adding to 420105735 its reverse (537501024), we get a palindrome (957606759).

The spelling of 420105735 in words is "four hundred twenty million, one hundred five thousand, seven hundred thirty-five".