102205368 has 32 divisors (see below), whose sum is σ = 283904400. Its totient is φ = 34068384.

The previous prime is 102205361. The next prime is 102205387. The reversal of 102205368 is 863502201.

102205368 is a `hidden beast` number, since 102 + 20 + 536 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102205361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236371 + ... + 236802.

Almost surely, 2^102205368 is an apocalyptic number.

102205368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102205368 is an abundant number, since it is smaller than the sum of its proper divisors (181699032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102205368 is a wasteful number, since it uses less digits than its factorization.

102205368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473188 (or 473178 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102205368 is about 10109.6670568323. The cubic root of 102205368 is about 467.5462400048.

Adding to 102205368 its reverse (863502201), we get a palindrome (965707569).

It can be divided in two parts, 1022053 and 68, that added together give a square (1022121 = 1011²).

The spelling of 102205368 in words is "one hundred two million, two hundred five thousand, three hundred sixty-eight".