102205265216 has 56 divisors (see below), whose sum is σ = 205410526440. Its totient is φ = 50450890752.

The previous prime is 102205265213. The next prime is 102205265237. The reversal of 102205265216 is 612562502201.

It can be written as a sum of positive squares in 4 ways, for example, as 53935417600 + 48269847616 = 232240^2 + 219704^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102205265213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2518946 + ... + 2559198.

It is an arithmetic number, because the mean of its divisors is an integer number (3668045115).

Almost surely, 2^102205265216 is an apocalyptic number.

102205265216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102205265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102705263220).

102205265216 is an abundant number, since it is smaller than the sum of its proper divisors (103205261224).

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

102205265216 is an equidigital number, since it uses as much as digits as its factorization.

102205265216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40771 (or 40761 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 102205265216 its reverse (612562502201), we get a palindrome (714767767417).

The spelling of 102205265216 in words is "one hundred two billion, two hundred five million, two hundred sixty-five thousand, two hundred sixteen".