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108903300025 = 5213250772
BaseRepresentation
bin110010101101100100…
…1000111101110111001
3101102002122202211211111
41211123021013232321
53241013221100100
6122010211400321
710603503530302
oct1453311075671
9342078684744
10108903300025
114220508a1a3
12191335b30a1
13a367233300
1453b16a37a9
152c75bb46ba
hex195b247bb9

108903300025 has 27 divisors (see below), whose sum is σ = 146255652711. Its totient is φ = 80405058240.

The previous prime is 108903299963. The next prime is 108903300029. The reversal of 108903300025 is 520003309801.

It is a happy number.

The square root of 108903300025 is 330005.

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

It can be written as a sum of positive squares in 13 ways, for example, as 45316617129 + 63586682896 = 212877^2 + 252164^2 .

It is not a de Polignac number, because 108903300025 - 217 = 108903168953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 108903300025.

It is not an unprimeable number, because it can be changed into a prime (108903300029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21447787 + ... + 21452863.

Almost surely, 2108903300025 is an apocalyptic number.

108903300025 is the 330005-th square number.

108903300025 is the 165003-rd centered octagonal number.

It is an amenable number.

108903300025 is a deficient number, since it is larger than the sum of its proper divisors (37352352686).

108903300025 is an frugal number, since it uses more digits than its factorization.

108903300025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 108903300025 its reverse (520003309801), we get a palindrome (628906609826).

The spelling of 108903300025 in words is "one hundred eight billion, nine hundred three million, three hundred thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 5077 25385 66001 126925 330005 858013 1650025 4290065 21450325 25775929 128879645 335087077 644398225 1675435385 4356132001 8377176925 21780660005 108903300025