102547252900 has 81 divisors (see below), whose sum is σ = 230160212163. Its totient is φ = 39657283200.

The previous prime is 102547252877. The next prime is 102547252921. The reversal of 102547252900 is 9252745201.

The square root of 102547252900 is 320230.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19930098276 + 82617154624 = 141174^2 + 287432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102547252900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99270784 + ... + 99271816.

Almost surely, 2^102547252900 is an apocalyptic number.

102547252900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102547252900 is the 320230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102547252900

102547252900 is an abundant number, since it is smaller than the sum of its proper divisors (127612959263).

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

102547252900 is an equidigital number, since it uses as much as digits as its factorization.

102547252900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 102547252900 in words is "one hundred two billion, five hundred forty-seven million, two hundred fifty-two thousand, nine hundred".