102413205 has 24 divisors (see below), whose sum is σ = 180431160. Its totient is φ = 53723520.

The previous prime is 102413189. The next prime is 102413257. The reversal of 102413205 is 502314201.

It can be written as a sum of positive squares in 4 ways, for example, as 19044 + 102394161 = 138^2 + 10119^2 .

It is not a de Polignac number, because 102413205 - 2⁴ = 102413189 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15910 + ... + 21399.

It is an arithmetic number, because the mean of its divisors is an integer number (7517965).

Almost surely, 2^102413205 is an apocalyptic number.

102413205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102413205 is a deficient number, since it is larger than the sum of its proper divisors (78017955).

102413205 is a wasteful number, since it uses less digits than its factorization.

102413205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37381 (or 37378 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102413205 is about 10119.9409583258. The cubic root of 102413205 is about 467.8629474863.

Adding to 102413205 its reverse (502314201), we get a palindrome (604727406).

The spelling of 102413205 in words is "one hundred two million, four hundred thirteen thousand, two hundred five".