102105115788 has 96 divisors (see below), whose sum is σ = 266468287680. Its totient is φ = 30224240640.

The previous prime is 102105115787. The next prime is 102105115813. The reversal of 102105115788 is 887511501201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (102105115787) by changing a digit.

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, 414328 + ... + 613088.

It is an arithmetic number, because the mean of its divisors is an integer number (2775711330).

Almost surely, 2^102105115788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102105115788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133234143840).

102105115788 is an abundant number, since it is smaller than the sum of its proper divisors (164363171892).

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

102105115788 is a wasteful number, since it uses less digits than its factorization.

102105115788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198907 (or 198905 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 39.

Adding to 102105115788 its reverse (887511501201), we get a palindrome (989616616989).

The spelling of 102105115788 in words is "one hundred two billion, one hundred five million, one hundred fifteen thousand, seven hundred eighty-eight".