102006114 has 64 divisors (see below), whose sum is σ = 245452032. Its totient is φ = 27648000.

The previous prime is 102006101. The next prime is 102006119. The reversal of 102006114 is 411600201.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102006093 and 102006102.

It is not an unprimeable number, because it can be changed into a prime (102006119) 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 31 ways as a sum of consecutive naturals, for example, 62914 + ... + 64514.

It is an arithmetic number, because the mean of its divisors is an integer number (3835188).

Almost surely, 2^102006114 is an apocalyptic number.

102006114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102006114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122726016).

102006114 is an abundant number, since it is smaller than the sum of its proper divisors (143445918).

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

102006114 is a wasteful number, since it uses less digits than its factorization.

102006114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 102006114 is about 10099.8076219302. The cubic root of 102006114 is about 467.2422081450.

Adding to 102006114 its reverse (411600201), we get a palindrome (513606315).

The spelling of 102006114 in words is "one hundred two million, six thousand, one hundred fourteen".