105432420 has 48 divisors (see below), whose sum is σ = 296549568. Its totient is φ = 27987840.

The previous prime is 105432409. The next prime is 105432427. The reversal of 105432420 is 24234501.

It is a super-2 number, since 2×105432420² = 22231990374112800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105432427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9750 + ... + 17490.

It is an arithmetic number, because the mean of its divisors is an integer number (6178116).

Almost surely, 2^105432420 is an apocalyptic number.

105432420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105432420 is an abundant number, since it is smaller than the sum of its proper divisors (191117148).

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

105432420 is a wasteful number, since it uses less digits than its factorization.

105432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 105432420 is about 10268.0290221639. The cubic root of 105432420 is about 472.4161380798.

Adding to 105432420 its reverse (24234501), we get a palindrome (129666921).

The spelling of 105432420 in words is "one hundred five million, four hundred thirty-two thousand, four hundred twenty".