102005343020 has 24 divisors (see below), whose sum is σ = 244812823584. Its totient is φ = 34973260416.

The previous prime is 102005343017. The next prime is 102005343029. The reversal of 102005343020 is 20343500201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102005342983 and 102005343001.

It is not an unprimeable number, because it can be changed into a prime (102005343029) 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 7 ways as a sum of consecutive naturals, for example, 364304657 + ... + 364304936.

It is an arithmetic number, because the mean of its divisors is an integer number (10200534316).

Almost surely, 2^102005343020 is an apocalyptic number.

102005343020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102005343020 is an abundant number, since it is smaller than the sum of its proper divisors (142807480564).

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

102005343020 is a wasteful number, since it uses less digits than its factorization.

102005343020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728609609 (or 728609607 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 102005343020 its reverse (20343500201), we get a palindrome (122348843221).

The spelling of 102005343020 in words is "one hundred two billion, five million, three hundred forty-three thousand, twenty".