102914217472 has 80 divisors (see below), whose sum is σ = 224436510144. Its totient is φ = 46755072000.

The previous prime is 102914217443. The next prime is 102914217479. The reversal of 102914217472 is 274712419201.

It is a happy number.

102914217472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102914217472² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102914217479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15377647 + ... + 15384337.

Almost surely, 2^102914217472 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 102914217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112218255072).

102914217472 is an abundant number, since it is smaller than the sum of its proper divisors (121522292672).

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

102914217472 is an equidigital number, since it uses as much as digits as its factorization.

102914217472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9451 (or 9435 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 102914217472 in words is "one hundred two billion, nine hundred fourteen million, two hundred seventeen thousand, four hundred seventy-two".