102660679296 has 1152 divisors, whose sum is σ = 390798720000. Its totient is φ = 25794478080.

The previous prime is 102660679273. The next prime is 102660679321. The reversal of 102660679296 is 692976066201.

102660679296 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 606 + 7 + 9 + 29 + 6 = 666.

102660679296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3311634801 + ... + 3311634831.

It is an arithmetic number, because the mean of its divisors is an integer number (339235000).

Almost surely, 2^102660679296 is an apocalyptic number.

102660679296 is a gapful number since it is divisible by the number (16) 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 102660679296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195399360000).

102660679296 is an abundant number, since it is smaller than the sum of its proper divisors (288138040704).

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

102660679296 is a wasteful number, since it uses less digits than its factorization.

102660679296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 102660679296 in words is "one hundred two billion, six hundred sixty million, six hundred seventy-nine thousand, two hundred ninety-six".