102323502098064 has 405 divisors, whose sum is σ = 315549686928411. Its totient is φ = 30938888148480.

The previous prime is 102323502097981. The next prime is 102323502098071. The reversal of 102323502098064 is 460890205323201.

The square root of 102323502098064 is 10115508.

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

102323502098064 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 3 + 502 + 0 + 9 + 80 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71956877907600 + 30366624190464 = 8482740^2 + 5510592^2 .

It is a super-2 number, since 2×102323502098064² (a number of 29 digits) contains 22 as substring.

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, 96259173597 + ... + 96259174659.

Almost surely, 2^{102323502098064} is an apocalyptic number.

102323502098064 is the 10115508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102323502098064

102323502098064 is an abundant number, since it is smaller than the sum of its proper divisors (213226184830347).

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

102323502098064 is an equidigital number, since it uses as much as digits as its factorization.

102323502098064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 102323502098064 in words is "one hundred two trillion, three hundred twenty-three billion, five hundred two million, ninety-eight thousand, sixty-four".