102666102600 has 96 divisors (see below), whose sum is σ = 318313599840. Its totient is φ = 27373440000.

The previous prime is 102666102589. The next prime is 102666102629. The reversal of 102666102600 is 6201666201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7625875 + ... + 7639325.

It is an arithmetic number, because the mean of its divisors is an integer number (3315766665).

Almost surely, 2^102666102600 is an apocalyptic number.

102666102600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102666102600 is an abundant number, since it is smaller than the sum of its proper divisors (215647497240).

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

102666102600 is a wasteful number, since it uses less digits than its factorization.

102666102600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26191 (or 26182 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 102666102600 its reverse (6201666201), we get a palindrome (108867768801).

The spelling of 102666102600 in words is "one hundred two billion, six hundred sixty-six million, one hundred two thousand, six hundred".