102538286656 has 63 divisors (see below), whose sum is σ = 220401863361. Its totient is φ = 47309992704.

The previous prime is 102538286633. The next prime is 102538286687. The reversal of 102538286656 is 656682835201.

The square root of 102538286656 is 320216.

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

It can be written as a sum of positive squares in only one way, i.e., 15168385600 + 87369901056 = 123160^2 + 295584^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33300925 + ... + 33304003.

Almost surely, 2^102538286656 is an apocalyptic number.

102538286656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102538286656 is the 320216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102538286656

102538286656 is an abundant number, since it is smaller than the sum of its proper divisors (117863576705).

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

102538286656 is an frugal number, since it uses more digits than its factorization.

102538286656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 102538286656 in words is "one hundred two billion, five hundred thirty-eight million, two hundred eighty-six thousand, six hundred fifty-six".