105642120 has 64 divisors (see below), whose sum is σ = 317603520. Its totient is φ = 28111104.

The previous prime is 105642101. The next prime is 105642127. The reversal of 105642120 is 21246501.

It is a super-2 number, since 2×105642120² = 22320515036188800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105642127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105462 + ... + 106458.

It is an arithmetic number, because the mean of its divisors is an integer number (4962555).

Almost surely, 2^105642120 is an apocalyptic number.

105642120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105642120 is an abundant number, since it is smaller than the sum of its proper divisors (211961400).

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

105642120 is a wasteful number, since it uses less digits than its factorization.

105642120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105642120 is about 10278.2352570857. The cubic root of 105642120 is about 472.7291349667.

Adding to 105642120 its reverse (21246501), we get a palindrome (126888621).

The spelling of 105642120 in words is "one hundred five million, six hundred forty-two thousand, one hundred twenty".