102081175316676 has 192 divisors, whose sum is σ = 285335405107200. Its totient is φ = 31445107863552.

The previous prime is 102081175316567. The next prime is 102081175316677. The reversal of 102081175316676 is 676613571180201.

102081175316676 is a `hidden beast` number, since 1 + 0 + 20 + 8 + 1 + 17 + 531 + 6 + 6 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (102081175316677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28180530 + ... + 31595958.

It is an arithmetic number, because the mean of its divisors is an integer number (1486121901600).

Almost surely, 2^{102081175316676} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102081175316676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142667702553600).

102081175316676 is an abundant number, since it is smaller than the sum of its proper divisors (183254229790524).

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

102081175316676 is a wasteful number, since it uses less digits than its factorization.

102081175316676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415755 (or 3415747 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 102081175316676 in words is "one hundred two trillion, eighty-one billion, one hundred seventy-five million, three hundred sixteen thousand, six hundred seventy-six".