102736966374 has 96 divisors (see below), whose sum is σ = 257865404160. Its totient is φ = 28955848896.

The previous prime is 102736966349. The next prime is 102736966403. The reversal of 102736966374 is 473669637201.

It is a happy number.

102736966374 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102736966374.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2731017 + ... + 2768379.

It is an arithmetic number, because the mean of its divisors is an integer number (2686097960).

Almost surely, 2^102736966374 is an apocalyptic number.

102736966374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102736966374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128932702080).

102736966374 is an abundant number, since it is smaller than the sum of its proper divisors (155128437786).

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

102736966374 is a wasteful number, since it uses less digits than its factorization.

102736966374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37674 (or 37671 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 102736966374 in words is "one hundred two billion, seven hundred thirty-six million, nine hundred sixty-six thousand, three hundred seventy-four".