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102853025 = 52114281
BaseRepresentation
bin1100010000101…
…10100110100001
321011112110211022
412020112212201
5202312244100
614112255225
72356144022
oct610264641
9234473738
10102853025
1153070000
122a541515
13184022a2
14d934c49
159069e85
hex62169a1

102853025 has 30 divisors (see below), whose sum is σ = 140789910. Its totient is φ = 74536000.

The previous prime is 102853013. The next prime is 102853031. The reversal of 102853025 is 520358201.

It can be written as a sum of positive squares in 3 ways, for example, as 11478544 + 91374481 = 3388^2 + 9559^2 .

It is not a de Polignac number, because 102853025 - 26 = 102852961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102852985 and 102853003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 365885 + ... + 366165.

It is an arithmetic number, because the mean of its divisors is an integer number (4692997).

Almost surely, 2102853025 is an apocalyptic number.

It is an amenable number.

102853025 is a deficient number, since it is larger than the sum of its proper divisors (37936885).

102853025 is an frugal number, since it uses more digits than its factorization.

102853025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 102853025 is about 10141.6480416153. The cubic root of 102853025 is about 468.5317466918.

The spelling of 102853025 in words is "one hundred two million, eight hundred fifty-three thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 281 605 1331 1405 3025 3091 6655 7025 14641 15455 33275 34001 73205 77275 170005 366025 374011 850025 1870055 4114121 9350275 20570605 102853025