102676836812256 has 288 divisors, whose sum is σ = 338079262510080. Its totient is φ = 28952909733888.

The previous prime is 102676836812239. The next prime is 102676836812267. The reversal of 102676836812256 is 652218638676201.

102676836812256 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 7 + 6 + 8 + 368 + 12 + 256 = 666.

102676836812256 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 102676836812193 and 102676836812202.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 69471885 + ... + 70934451.

It is an arithmetic number, because the mean of its divisors is an integer number (1173886328160).

Almost surely, 2^{102676836812256} is an apocalyptic number.

102676836812256 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 102676836812256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169039631255040).

102676836812256 is an abundant number, since it is smaller than the sum of its proper divisors (235402425697824).

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

102676836812256 is a wasteful number, since it uses less digits than its factorization.

102676836812256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463046 (or 1463035 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 102676836812256 in words is "one hundred two trillion, six hundred seventy-six billion, eight hundred thirty-six million, eight hundred twelve thousand, two hundred fifty-six".