10102014 has 48 divisors (see below), whose sum is σ = 24609312. Its totient is φ = 2971584.

The previous prime is 10102009. The next prime is 10102019. The reversal of 10102014 is 41020101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10102009) and next prime (10102019).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10101987 and 10102005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102019) 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 23 ways as a sum of consecutive naturals, for example, 4444 + ... + 6320.

It is an arithmetic number, because the mean of its divisors is an integer number (512694).

Almost surely, 2^10102014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12304656).

10102014 is an abundant number, since it is smaller than the sum of its proper divisors (14507298).

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

10102014 is a wasteful number, since it uses less digits than its factorization.

10102014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10102014 is about 3178.3665616162. The cubic root of 10102014 is about 216.1736001513.

Adding to 10102014 its reverse (41020101), we get a palindrome (51122115).

The spelling of 10102014 in words is "ten million, one hundred two thousand, fourteen".