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105041525 = 527357557
BaseRepresentation
bin1100100001011…
…00111001110101
321022122122212212
412100230321311
5203342312100
614231223205
72413560341
oct620547165
9238578785
10105041525
1154325286
122b217b05
13189ba464
14dd44621
15934d635
hex642ce75

105041525 has 12 divisors (see below), whose sum is σ = 132038052. Its totient is φ = 82880640.

The previous prime is 105041491. The next prime is 105041527. The reversal of 105041525 is 525140501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9647236 + 95394289 = 3106^2 + 9767^2 .

It is not a de Polignac number, because 105041525 - 28 = 105041269 is a prime.

It is a super-2 number, since 2×1050415252 = 22067443948651250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105041525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105041527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26954 + ... + 30603.

It is an arithmetic number, because the mean of its divisors is an integer number (11003171).

Almost surely, 2105041525 is an apocalyptic number.

It is an amenable number.

105041525 is a deficient number, since it is larger than the sum of its proper divisors (26996527).

105041525 is an equidigital number, since it uses as much as digits as its factorization.

105041525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57640 (or 57635 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 105041525 is about 10248.9767781960. The cubic root of 105041525 is about 471.8315810232.

The spelling of 105041525 in words is "one hundred five million, forty-one thousand, five hundred twenty-five".

Divisors: 1 5 25 73 365 1825 57557 287785 1438925 4201661 21008305 105041525