102004640556 has 192 divisors, whose sum is σ = 315535589376. Its totient is φ = 24902380800.

The previous prime is 102004640531. The next prime is 102004640557. The reversal of 102004640556 is 655046400201.

It is not an unprimeable number, because it can be changed into a prime (102004640557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713091 + ... + 844101.

It is an arithmetic number, because the mean of its divisors is an integer number (1643414528).

Almost surely, 2^102004640556 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 102004640556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157767794688).

102004640556 is an abundant number, since it is smaller than the sum of its proper divisors (213530948820).

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

102004640556 is a wasteful number, since it uses less digits than its factorization.

102004640556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131092 (or 131090 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 102004640556 in words is "one hundred two billion, four million, six hundred forty thousand, five hundred fifty-six".