102668384 has 48 divisors (see below), whose sum is σ = 248780448. Its totient is φ = 40614912.

The previous prime is 102668383. The next prime is 102668393. The reversal of 102668384 is 483866201.

It is a happy number.

It is a super-4 number, since 4×102668384⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102668383) 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 7 ways as a sum of consecutive naturals, for example, 14717 + ... + 20540.

It is an arithmetic number, because the mean of its divisors is an integer number (5182926).

Almost surely, 2^102668384 is an apocalyptic number.

102668384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102668384 is an abundant number, since it is smaller than the sum of its proper divisors (146112064).

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

102668384 is a wasteful number, since it uses less digits than its factorization.

102668384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35287 (or 35279 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 102668384 is about 10132.5408462044. The cubic root of 102668384 is about 468.2512104949.

The spelling of 102668384 in words is "one hundred two million, six hundred sixty-eight thousand, three hundred eighty-four".