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105130025 = 52711134201
BaseRepresentation
bin1100100010000…
…10100000101001
321022211011021122
412101002200221
5203403130100
614233145025
72414406350
oct621024051
9238734248
10105130025
1154385820
122b25b175
1318a1b820
14dd68997
159369985
hex6442829

105130025 has 48 divisors (see below), whose sum is σ = 175072128. Its totient is φ = 60480000.

The previous prime is 105130019. The next prime is 105130031. The reversal of 105130025 is 520031501.

It is an interprime number because it is at equal distance from previous prime (105130019) and next prime (105130031).

It is not a de Polignac number, because 105130025 - 210 = 105129001 is a prime.

It is a super-2 number, since 2×1051300252 = 22104644313001250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105129985 and 105130012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22925 + ... + 27125.

It is an arithmetic number, because the mean of its divisors is an integer number (3647336).

Almost surely, 2105130025 is an apocalyptic number.

It is an amenable number.

105130025 is a deficient number, since it is larger than the sum of its proper divisors (69942103).

105130025 is a wasteful number, since it uses less digits than its factorization.

105130025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105130025 is about 10253.2933733508. The cubic root of 105130025 is about 471.9640536280.

Adding to 105130025 its reverse (520031501), we get a palindrome (625161526).

The spelling of 105130025 in words is "one hundred five million, one hundred thirty thousand, twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 143 175 275 325 385 455 715 1001 1925 2275 3575 4201 5005 21005 25025 29407 46211 54613 105025 147035 231055 273065 323477 382291 600743 735175 1155275 1365325 1617385 1911455 3003715 4205201 8086925 9557275 15018575 21026005 105130025