102363201 has 12 divisors (see below), whose sum is σ = 151854612. Its totient is φ = 66397536.

The previous prime is 102363199. The next prime is 102363211.

102363201 is a `hidden beast` number, since 10 + 23 + 632 + 0 + 1 = 666.

102363201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 81432576 + 20930625 = 9024^2 + 4575^2 .

It is not a de Polignac number, because 102363201 - 2¹ = 102363199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102363211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153366 + ... + 154031.

It is an arithmetic number, because the mean of its divisors is an integer number (12654551).

Almost surely, 2^102363201 is an apocalyptic number.

It is an amenable number.

102363201 is a deficient number, since it is larger than the sum of its proper divisors (49491411).

102363201 is a wasteful number, since it uses less digits than its factorization.

102363201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307440 (or 307437 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 102363201 is about 10117.4700889106. The cubic root of 102363201 is about 467.7867892491.

The spelling of 102363201 in words is "one hundred two million, three hundred sixty-three thousand, two hundred one".