102468926560 has 384 divisors, whose sum is σ = 339178420224. Its totient is φ = 28198748160.

The previous prime is 102468926531. The next prime is 102468926563. The reversal of 102468926560 is 65629864201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102468926563) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3669772 + ... + 3697588.

It is an arithmetic number, because the mean of its divisors is an integer number (883277136).

Almost surely, 2^102468926560 is an apocalyptic number.

102468926560 is a gapful number since it is divisible by the number (10) 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 102468926560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169589210112).

102468926560 is an abundant number, since it is smaller than the sum of its proper divisors (236709493664).

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

102468926560 is a wasteful number, since it uses less digits than its factorization.

102468926560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27886 (or 27878 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 102468926560 in words is "one hundred two billion, four hundred sixty-eight million, nine hundred twenty-six thousand, five hundred sixty".