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105268725 = 3252676983
BaseRepresentation
bin1100100011001…
…00010111110101
321100002012112200
412101210113311
5203422044400
614240135113
72415524622
oct621442765
9240065480
10105268725
115446aa51
122b307499
1318a699b3
14dda3349
159395b00
hex64645f5

105268725 has 36 divisors (see below), whose sum is σ = 191389536. Its totient is φ = 55297440.

The previous prime is 105268717. The next prime is 105268727. The reversal of 105268725 is 527862501.

It is a happy number.

It is not a de Polignac number, because 105268725 - 23 = 105268717 is a prime.

It is a super-2 number, since 2×1052687252 = 22163008926251250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105268725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105268727) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11584 + ... + 18566.

It is an arithmetic number, because the mean of its divisors is an integer number (5316376).

Almost surely, 2105268725 is an apocalyptic number.

105268725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105268725 is a deficient number, since it is larger than the sum of its proper divisors (86120811).

105268725 is a wasteful number, since it uses less digits than its factorization.

105268725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 105268725 is about 10260.0548244149. The cubic root of 105268725 is about 472.1715194056.

The spelling of 105268725 in words is "one hundred five million, two hundred sixty-eight thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 67 75 201 225 335 603 1005 1675 3015 5025 6983 15075 20949 34915 62847 104745 174575 314235 467861 523725 1403583 1571175 2339305 4210749 7017915 11696525 21053745 35089575 105268725