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102504025 = 52131971601
BaseRepresentation
bin1100001110000…
…01011001011001
321010212202002101
412013001121121
5202220112100
614101003401
72353161361
oct607013131
9233782071
10102504025
1152951878
122a3b3561
131830c490
14d8839a1
158eeb86a
hex61c1659

102504025 has 24 divisors (see below), whose sum is σ = 137663064. Its totient is φ = 75264000.

The previous prime is 102504019. The next prime is 102504041. The reversal of 102504025 is 520405201.

It can be written as a sum of positive squares in 12 ways, for example, as 170569 + 102333456 = 413^2 + 10116^2 .

It is not a de Polignac number, because 102504025 - 219 = 101979737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102503993 and 102504011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63225 + ... + 64825.

It is an arithmetic number, because the mean of its divisors is an integer number (5735961).

Almost surely, 2102504025 is an apocalyptic number.

It is an amenable number.

102504025 is a deficient number, since it is larger than the sum of its proper divisors (35159039).

102504025 is a wasteful number, since it uses less digits than its factorization.

102504025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 102504025 is about 10124.4271442882. The cubic root of 102504025 is about 468.0012068662.

Adding to 102504025 its reverse (520405201), we get a palindrome (622909226).

The spelling of 102504025 in words is "one hundred two million, five hundred four thousand, twenty-five".

Divisors: 1 5 13 25 65 197 325 985 1601 2561 4925 8005 12805 20813 40025 64025 104065 315397 520325 1576985 4100161 7884925 20500805 102504025