102005361 has 12 divisors (see below), whose sum is σ = 148694260. Its totient is φ = 67379040.

The previous prime is 102005327. The next prime is 102005363. The reversal of 102005361 is 163500201.

It can be written as a sum of positive squares in 2 ways, for example, as 55219761 + 46785600 = 7431^2 + 6840^2 .

It is not a de Polignac number, because 102005361 - 2²² = 97811057 is a prime.

It is a Duffinian number.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51010 + ... + 52971.

Almost surely, 2^102005361 is an apocalyptic number.

It is an amenable number.

102005361 is a deficient number, since it is larger than the sum of its proper divisors (46688899).

102005361 is a wasteful number, since it uses less digits than its factorization.

102005361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104096 (or 104093 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 102005361 is about 10099.7703439237. The cubic root of 102005361 is about 467.2410584288.

Adding to 102005361 its reverse (163500201), we get a palindrome (265505562).

The spelling of 102005361 in words is "one hundred two million, five thousand, three hundred sixty-one".