102105201 has 16 divisors (see below), whose sum is σ = 153639360. Its totient is φ = 59747520.

The previous prime is 102105191. The next prime is 102105203. The reversal of 102105201 is 102501201.

It is not a de Polignac number, because 102105201 - 2¹⁴ = 102088817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102105203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52390 + ... + 54303.

It is an arithmetic number, because the mean of its divisors is an integer number (9602460).

Almost surely, 2^102105201 is an apocalyptic number.

102105201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102105201 is a deficient number, since it is larger than the sum of its proper divisors (51534159).

102105201 is a wasteful number, since it uses less digits than its factorization.

102105201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106736.

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 102105201 is about 10104.7118217196. The cubic root of 102105201 is about 467.3934495561.

Adding to 102105201 its reverse (102501201), we get a palindrome (204606402).

The spelling of 102105201 in words is "one hundred two million, one hundred five thousand, two hundred one".