102978311424 has 288 divisors, whose sum is σ = 301511911680. Its totient is φ = 31095128064.

The previous prime is 102978311419. The next prime is 102978311497. The reversal of 102978311424 is 424113879201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27147672 + ... + 27151464.

It is an arithmetic number, because the mean of its divisors is an integer number (1046916360).

Almost surely, 2^102978311424 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 102978311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150755955840).

102978311424 is an abundant number, since it is smaller than the sum of its proper divisors (198533600256).

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

102978311424 is a wasteful number, since it uses less digits than its factorization.

102978311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 102978311424 in words is "one hundred two billion, nine hundred seventy-eight million, three hundred eleven thousand, four hundred twenty-four".