10144410102 has 192 divisors, whose sum is σ = 24902152704. Its totient is φ = 2969809920.

The previous prime is 10144410079. The next prime is 10144410113. The reversal of 10144410102 is 20101444101.

10144410102 is a `hidden beast` number, since 10 + 144 + 410 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32618527 + ... + 32618837.

It is an arithmetic number, because the mean of its divisors is an integer number (129698712).

Almost surely, 2^10144410102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144410102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12451076352).

10144410102 is an abundant number, since it is smaller than the sum of its proper divisors (14757742602).

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

10144410102 is a wasteful number, since it uses less digits than its factorization.

10144410102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10144410102 its reverse (20101444101), we get a palindrome (30245854203).

The spelling of 10144410102 in words is "ten billion, one hundred forty-four million, four hundred ten thousand, one hundred two".