102305020636602 has 192 divisors, whose sum is σ = 265160037542400. Its totient is φ = 27900073382400.

The previous prime is 102305020636597. The next prime is 102305020636607. The reversal of 102305020636602 is 206636020503201.

102305020636602 is a `hidden beast` number, since 1 + 0 + 2 + 30 + 502 + 0 + 63 + 6 + 60 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (102305020636597) and next prime (102305020636607).

It is a super-2 number, since 2×102305020636602² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102305020636607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50327299 + ... + 52320617.

It is an arithmetic number, because the mean of its divisors is an integer number (1381041862200).

Almost surely, 2^{102305020636602} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102305020636602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580018771200).

102305020636602 is an abundant number, since it is smaller than the sum of its proper divisors (162855016905798).

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

102305020636602 is a wasteful number, since it uses less digits than its factorization.

102305020636602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993581 (or 1993578 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 102305020636602 in words is "one hundred two trillion, three hundred five billion, twenty million, six hundred thirty-six thousand, six hundred two".