102005601 has 16 divisors (see below), whose sum is σ = 138314880. Its totient is φ = 66856320.

The previous prime is 102005597. The next prime is 102005611. The reversal of 102005601 is 106500201.

It is not a de Polignac number, because 102005601 - 2² = 102005597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102005611) 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 15 ways as a sum of consecutive naturals, for example, 95611 + ... + 96671.

It is an arithmetic number, because the mean of its divisors is an integer number (8644680).

Almost surely, 2^102005601 is an apocalyptic number.

It is an amenable number.

102005601 is a deficient number, since it is larger than the sum of its proper divisors (36309279).

102005601 is a wasteful number, since it uses less digits than its factorization.

102005601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 102005601 is about 10099.7822253750. The cubic root of 102005601 is about 467.2414248729.

Adding to 102005601 its reverse (106500201), we get a palindrome (208505802).

The spelling of 102005601 in words is "one hundred two million, five thousand, six hundred one".