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105262525 = 528947309
BaseRepresentation
bin1100100011000…
…10110110111101
321100001220001001
412101202312331
5203421400100
614240050301
72415500554
oct621426675
9240056031
10105262525
1154466325
122b303991
1318a66c24
14dda0d9b
159393d6a
hex6462dbd

105262525 has 12 divisors (see below), whose sum is σ = 131994900. Its totient is φ = 83262080.

The previous prime is 105262517. The next prime is 105262529. The reversal of 105262525 is 525262501.

It can be written as a sum of positive squares in 6 ways, for example, as 26656569 + 78605956 = 5163^2 + 8866^2 .

It is not a de Polignac number, because 105262525 - 23 = 105262517 is a prime.

It is a super-2 number, since 2×1052625252 = 22160398338751250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105262493 and 105262502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105262529) 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, 21430 + ... + 25879.

It is an arithmetic number, because the mean of its divisors is an integer number (10999575).

Almost surely, 2105262525 is an apocalyptic number.

It is an amenable number.

105262525 is a deficient number, since it is larger than the sum of its proper divisors (26732375).

105262525 is an equidigital number, since it uses as much as digits as its factorization.

105262525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47408 (or 47403 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 105262525 is about 10259.7526773310. The cubic root of 105262525 is about 472.1622494130.

The spelling of 105262525 in words is "one hundred five million, two hundred sixty-two thousand, five hundred twenty-five".

Divisors: 1 5 25 89 445 2225 47309 236545 1182725 4210501 21052505 105262525