10114203006 has 96 divisors (see below), whose sum is σ = 25085043360. Its totient is φ = 2924771328.

The previous prime is 10114202981. The next prime is 10114203019. The reversal of 10114203006 is 60030241101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10114203006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191610 + ... + 238626.

It is an arithmetic number, because the mean of its divisors is an integer number (261302535).

Almost surely, 2^10114203006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114203006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542521680).

10114203006 is an abundant number, since it is smaller than the sum of its proper divisors (14970840354).

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

10114203006 is a wasteful number, since it uses less digits than its factorization.

10114203006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47098 (or 47095 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10114203006 its reverse (60030241101), we get a palindrome (70144444107).

The spelling of 10114203006 in words is "ten billion, one hundred fourteen million, two hundred three thousand, six".