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108020682225 = 3252219112
BaseRepresentation
bin110010010011010001…
…0001100110111110001
3101022211010222012211100
41210212202030313301
53232211243312400
6121342442035013
710542565435461
oct1444642146761
9338733865740
10108020682225
11418a194a3a5
1218b27aa8a69
13a256414661
14532a38dba1
152c2346d100
hex192688cdf1

108020682225 has 27 divisors (see below), whose sum is σ = 193485874699. Its totient is φ = 57608401200.

The previous prime is 108020682191. The next prime is 108020682241. The reversal of 108020682225 is 522286020801.

The square root of 108020682225 is 328665.

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., 38887445601 + 69133236624 = 197199^2 + 262932^2 .

It is not a de Polignac number, because 108020682225 - 27 = 108020682097 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 108020682225.

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, 4919020 + ... + 4940930.

Almost surely, 2108020682225 is an apocalyptic number.

108020682225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

108020682225 is the 328665-th square number.

108020682225 is the 164333-rd centered octagonal number.

It is an amenable number.

108020682225 is a deficient number, since it is larger than the sum of its proper divisors (85465192474).

108020682225 is an frugal number, since it uses more digits than its factorization.

108020682225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43838 (or 21919 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 108020682225 by its sum of digits (36), we get a square (3888744560100 = 19719902).

The spelling of 108020682225 in words is "one hundred eight billion, twenty million, six hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 21911 65733 109555 197199 328665 547775 985995 1643325 4929975 480091921 1440275763 2400459605 4320827289 7201378815 12002298025 21604136445 36006894075 108020682225