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105325025 = 5213297257
BaseRepresentation
bin1100100011100…
…10000111100001
321100012001202212
412101302013201
5203430400100
614241251505
72416151021
oct621620741
9240161685
10105325025
11544a9283
122b333b95
1318a89500
14ddb9a81
1593a7635
hex64721e1

105325025 has 36 divisors (see below), whose sum is σ = 143436132. Its totient is φ = 76677120.

The previous prime is 105325009. The next prime is 105325039. The reversal of 105325025 is 520523501.

It can be written as a sum of positive squares in 18 ways, for example, as 75829264 + 29495761 = 8708^2 + 5431^2 .

It is not a de Polignac number, because 105325025 - 24 = 105325009 is a prime.

It is a super-2 number, since 2×1053250252 = 22186721782501250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 409697 + ... + 409953.

It is an arithmetic number, because the mean of its divisors is an integer number (3984337).

Almost surely, 2105325025 is an apocalyptic number.

It is an amenable number.

105325025 is a deficient number, since it is larger than the sum of its proper divisors (38111107).

105325025 is a wasteful number, since it uses less digits than its factorization.

105325025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 105325025 is about 10262.7981077287. The cubic root of 105325025 is about 472.2556802642.

Adding to 105325025 its reverse (520523501), we get a palindrome (625848526).

The spelling of 105325025 in words is "one hundred five million, three hundred twenty-five thousand, twenty-five".

Divisors: 1 5 13 25 65 97 169 257 325 485 845 1261 1285 2425 3341 4225 6305 6425 16393 16705 24929 31525 43433 81965 83525 124645 217165 324077 409825 623225 1085825 1620385 4213001 8101925 21065005 105325025