102120006 has 16 divisors (see below), whose sum is σ = 204896304. Its totient is φ = 33930624.

The previous prime is 102120001. The next prime is 102120013. The reversal of 102120006 is 600021201.

It is a junction number, because it is equal to n+sod(n) for n = 102119973 and 102120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25311 + ... + 29066.

It is an arithmetic number, because the mean of its divisors is an integer number (12806019).

Almost surely, 2^102120006 is an apocalyptic number.

102120006 is an abundant number, since it is smaller than the sum of its proper divisors (102776298).

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

102120006 is a wasteful number, since it uses less digits than its factorization.

102120006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54695.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102120006 is about 10105.4443741975. Note that the first 3 decimals coincide. The cubic root of 102120006 is about 467.4160387599.

Adding to 102120006 its reverse (600021201), we get a palindrome (702141207).

The spelling of 102120006 in words is "one hundred two million, one hundred twenty thousand, six".