102005360 has 20 divisors (see below), whose sum is σ = 237162648. Its totient is φ = 40802112.

The previous prime is 102005327. The next prime is 102005363. The reversal of 102005360 is 63500201.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102005363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 637454 + ... + 637613.

Almost surely, 2^102005360 is an apocalyptic number.

102005360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102005360 is an abundant number, since it is smaller than the sum of its proper divisors (135157288).

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

102005360 is a wasteful number, since it uses less digits than its factorization.

102005360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275080 (or 1275074 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 102005360 is about 10099.7702944176. The cubic root of 102005360 is about 467.2410569020.

Adding to 102005360 its reverse (63500201), we get a palindrome (165505561).

The spelling of 102005360 in words is "one hundred two million, five thousand, three hundred sixty".