105642006 has 8 divisors (see below), whose sum is σ = 211284024. Its totient is φ = 35214000.

The previous prime is 105642001. The next prime is 105642007. The reversal of 105642006 is 600246501.

It is a sphenic number, since it is the product of 3 distinct primes.

105642006 is an admirable number.

It is a super-2 number, since 2×105642006² = 22320466863408072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105642001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8803495 + ... + 8803506.

It is an arithmetic number, because the mean of its divisors is an integer number (26410503).

Almost surely, 2^105642006 is an apocalyptic number.

105642006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105642006 is a wasteful number, since it uses less digits than its factorization.

105642006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17607006.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105642006 is about 10278.2297113851. The cubic root of 105642006 is about 472.7289649236.

Adding to 105642006 its reverse (600246501), we get a palindrome (705888507).

The spelling of 105642006 in words is "one hundred five million, six hundred forty-two thousand, six".