102106368 has 216 divisors, whose sum is σ = 363079808. Its totient is φ = 26873856.

The previous prime is 102106339. The next prime is 102106379. The reversal of 102106368 is 863601201.

102106368 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 636 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209421 + ... + 209907.

Almost surely, 2^102106368 is an apocalyptic number.

102106368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181539904).

102106368 is an abundant number, since it is smaller than the sum of its proper divisors (260973440).

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

102106368 is a wasteful number, since it uses less digits than its factorization.

102106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102106368 is about 10104.7695668927. The cubic root of 102106368 is about 467.3952302231.

Adding to 102106368 its reverse (863601201), we get a palindrome (965707569).

It can be divided in two parts, 10 and 2106368, that added together give a triangular number (2106378 = T₂₀₅₂).

The spelling of 102106368 in words is "one hundred two million, one hundred six thousand, three hundred sixty-eight".