102440114304 has 128 divisors (see below), whose sum is σ = 297351362880. Its totient is φ = 30989352960.

The previous prime is 102440114267. The next prime is 102440114311. The reversal of 102440114304 is 403411044201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2484384 + ... + 2525280.

Almost surely, 2^102440114304 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 102440114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148675681440).

102440114304 is an abundant number, since it is smaller than the sum of its proper divisors (194911248576).

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

102440114304 is a wasteful number, since it uses less digits than its factorization.

102440114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41518 (or 41506 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102440114304 its reverse (403411044201), we get a palindrome (505851158505).

The spelling of 102440114304 in words is "one hundred two billion, four hundred forty million, one hundred fourteen thousand, three hundred four".