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108692199225 = 32523127092
BaseRepresentation
bin110010100111010001…
…1110101011100111001
3101101112221112210222100
41211032203311130321
53240100200333400
6121533231014013
710565331310131
oct1451643653471
9341487483870
10108692199225
1142106a05025
121909496a309
13a3325903ac
145391631ac1
152c623b6100
hex194e8f5739

108692199225 has 81 divisors (see below), whose sum is σ = 201446506989. Its totient is φ = 56020075200.

The previous prime is 108692199199. The next prime is 108692199233. The reversal of 108692199225 is 522991296801.

The square root of 108692199225 is 329685.

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 30018681081 + 78673518144 = 173259^2 + 280488^2 .

It is not a de Polignac number, because 108692199225 - 211 = 108692197177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 153303171 + ... + 153303879.

Almost surely, 2108692199225 is an apocalyptic number.

108692199225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

108692199225 is the 329685-th square number.

108692199225 is the 164843-rd centered octagonal number.

It is an amenable number.

108692199225 is a deficient number, since it is larger than the sum of its proper divisors (92754307764).

108692199225 is an frugal number, since it uses more digits than its factorization.

108692199225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 108692199225 in words is "one hundred eight billion, six hundred ninety-two million, one hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 465 709 775 961 1395 2127 2325 2883 3545 4805 6381 6975 8649 10635 14415 17725 21979 24025 31905 43245 53175 65937 72075 109895 159525 197811 216225 329685 502681 549475 681349 989055 1508043 1648425 2044047 2513405 3406745 4524129 4945275 6132141 7540215 10220235 12567025 15583111 17033725 22620645 30660705 37701075 46749333 51101175 77915555 113103225 140247999 153303525 233746665 389577775 483076441 701239995 1168733325 1449229323 2415382205 3506199975 4347687969 7246146615 12076911025 21738439845 36230733075 108692199225