102517793856 has 105 divisors (see below), whose sum is σ = 303963209319. Its totient is φ = 34164913536.

The previous prime is 102517793843. The next prime is 102517793857. The reversal of 102517793856 is 658397715201.

The square root of 102517793856 is 320184.

It is a perfect power (a square), and thus also a powerful number.

102517793856 is a `hidden beast` number, since 1 + 0 + 2 + 517 + 79 + 3 + 8 + 56 = 666.

It is a super-2 number, since 2×102517793856² (a number of 23 digits) contains 22 as substring.

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 (102517793857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23051025 + ... + 23055471.

Almost surely, 2^102517793856 is an apocalyptic number.

102517793856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102517793856 is the 320184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102517793856

102517793856 is an abundant number, since it is smaller than the sum of its proper divisors (201445415463).

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

102517793856 is an frugal number, since it uses more digits than its factorization.

102517793856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8918 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 102517793856 in words is "one hundred two billion, five hundred seventeen million, seven hundred ninety-three thousand, eight hundred fifty-six".