102009585840 has 320 divisors, whose sum is σ = 328564684800. Its totient is φ = 26166177792.

The previous prime is 102009585827. The next prime is 102009585863. The reversal of 102009585840 is 48585900201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102009585792 and 102009585801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200411506 + ... + 200412014.

It is an arithmetic number, because the mean of its divisors is an integer number (1026764640).

Almost surely, 2^102009585840 is an apocalyptic number.

102009585840 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 102009585840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164282342400).

102009585840 is an abundant number, since it is smaller than the sum of its proper divisors (226555098960).

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

102009585840 is a wasteful number, since it uses less digits than its factorization.

102009585840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 102009585840 in words is "one hundred two billion, nine million, five hundred eighty-five thousand, eight hundred forty".