102109810752 has 168 divisors, whose sum is σ = 310364806752. Its totient is φ = 31985971200.

The previous prime is 102109810729. The next prime is 102109810771. The reversal of 102109810752 is 257018901201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 6758727 + ... + 6773817.

It is an arithmetic number, because the mean of its divisors is an integer number (1847409564).

Almost surely, 2^102109810752 is an apocalyptic number.

102109810752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102109810752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155182403376).

102109810752 is an abundant number, since it is smaller than the sum of its proper divisors (208254996000).

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

102109810752 is a wasteful number, since it uses less digits than its factorization.

102109810752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15817 (or 15804 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 102109810752 in words is "one hundred two billion, one hundred nine million, eight hundred ten thousand, seven hundred fifty-two".