102061839784356 has 243 divisors, whose sum is σ = 284709689615169. Its totient is φ = 30820746711744.

The previous prime is 102061839784327. The next prime is 102061839784367. The reversal of 102061839784356 is 653487938160201.

The square root of 102061839784356 is 10102566.

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

102061839784356 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 618 + 3 + 9 + 7 + 8 + 4 + 3 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101110465836900 + 951373947456 = 10055370^2 + 975384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102061839784293 and 102061839784302.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26488926126 + ... + 26488929978.

It is a 2-persistent number, because it is pandigital, and so is 2⋅102061839784356 = 204123679568712, but 3⋅102061839784356 = 306185519353068 is not.

Almost surely, 2^{102061839784356} is an apocalyptic number.

102061839784356 is the 10102566-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102061839784356

102061839784356 is an abundant number, since it is smaller than the sum of its proper divisors (182647849830813).

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

102061839784356 is an equidigital number, since it uses as much as digits as its factorization.

102061839784356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 102061839784356 in words is "one hundred two trillion, sixty-one billion, eight hundred thirty-nine million, seven hundred eighty-four thousand, three hundred fifty-six".