102116268 has 24 divisors (see below), whose sum is σ = 264746160. Its totient is φ = 34038720.

The previous prime is 102116249. The next prime is 102116291. The reversal of 102116268 is 862611201.

102116268 is a `hidden beast` number, since 10 + 21 + 1 + 626 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472653 + ... + 472868.

It is an arithmetic number, because the mean of its divisors is an integer number (11031090).

Almost surely, 2^102116268 is an apocalyptic number.

102116268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102116268 is an abundant number, since it is smaller than the sum of its proper divisors (162629892).

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

102116268 is a wasteful number, since it uses less digits than its factorization.

102116268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945534 (or 945526 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102116268 is about 10105.2594226967. The cubic root of 102116268 is about 467.4103355925.

Adding to 102116268 its reverse (862611201), we get a palindrome (964727469).

The spelling of 102116268 in words is "one hundred two million, one hundred sixteen thousand, two hundred sixty-eight".