102668291388 has 288 divisors, whose sum is σ = 303891194880. Its totient is φ = 28972753920.

The previous prime is 102668291381. The next prime is 102668291513. The reversal of 102668291388 is 883192866201.

102668291388 is a `hidden beast` number, since 10 + 266 + 8 + 291 + 3 + 88 = 666.

It is a super-4 number, since 4×102668291388⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102668291381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26036145 + ... + 26040087.

It is an arithmetic number, because the mean of its divisors is an integer number (1055177760).

Almost surely, 2^102668291388 is an apocalyptic number.

102668291388 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 102668291388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151945597440).

102668291388 is an abundant number, since it is smaller than the sum of its proper divisors (201222903492).

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

102668291388 is a wasteful number, since it uses less digits than its factorization.

102668291388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 102668291388 in words is "one hundred two billion, six hundred sixty-eight million, two hundred ninety-one thousand, three hundred eighty-eight".