102144103410 has 64 divisors (see below), whose sum is σ = 249646924800. Its totient is φ = 26739590592.

The previous prime is 102144103367. The next prime is 102144103429. The reversal of 102144103410 is 14301441201.

It is a super-2 number, since 2×102144103410² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247101 + ... + 1326479.

It is an arithmetic number, because the mean of its divisors is an integer number (3900733200).

Almost surely, 2^102144103410 is an apocalyptic number.

102144103410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102144103410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124823462400).

102144103410 is an abundant number, since it is smaller than the sum of its proper divisors (147502821390).

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

102144103410 is a wasteful number, since it uses less digits than its factorization.

102144103410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80175.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102144103410 its reverse (14301441201), we get a palindrome (116445544611).

The spelling of 102144103410 in words is "one hundred two billion, one hundred forty-four million, one hundred three thousand, four hundred ten".