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102587225 = 5213224281
BaseRepresentation
bin1100001110101…
…01101101011001
321011000222012212
412013111231121
5202230242400
614102444505
72353656056
oct607255531
9234028185
10102587225
11529a9334
122a433735
131833b300
14d8a602d
159016335
hex61d5b59

102587225 has 18 divisors (see below), whose sum is σ = 137751786. Its totient is φ = 75753600.

The previous prime is 102587183. The next prime is 102587237. The reversal of 102587225 is 522785201.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 36132121 + 66455104 = 6011^2 + 8152^2 .

It is not a de Polignac number, because 102587225 - 214 = 102570841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102587191 and 102587200.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7916 + ... + 16365.

It is an arithmetic number, because the mean of its divisors is an integer number (7652877).

Almost surely, 2102587225 is an apocalyptic number.

It is an amenable number.

102587225 is a deficient number, since it is larger than the sum of its proper divisors (35164561).

102587225 is a wasteful number, since it uses less digits than its factorization.

102587225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24317 (or 24299 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 102587225 is about 10128.5351853069. The cubic root of 102587225 is about 468.1277943188.

The spelling of 102587225 in words is "one hundred two million, five hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 24281 121405 315653 607025 1578265 4103489 7891325 20517445 102587225