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107124025 = 5225716673
BaseRepresentation
bin1100110001010…
…01010100111001
321110120110112111
412120221110321
5204410432100
614344012321
72440352641
oct630512471
9243513474
10107124025
1155517958
122ba610a1
13192692c8
1410327521
1596106ba
hex6629539

107124025 has 12 divisors (see below), whose sum is σ = 133358652. Its totient is φ = 85360640.

The previous prime is 107124011. The next prime is 107124029. The reversal of 107124025 is 520421701.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20187049 + 86936976 = 4493^2 + 9324^2 .

It is not a de Polignac number, because 107124025 - 27 = 107123897 is a prime.

It is a super-2 number, since 2×1071240252 = 22951113464401250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107123987 and 107124005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107124029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1912 + ... + 14761.

It is an arithmetic number, because the mean of its divisors is an integer number (11113221).

Almost surely, 2107124025 is an apocalyptic number.

It is an amenable number.

107124025 is a deficient number, since it is larger than the sum of its proper divisors (26234627).

107124025 is a wasteful number, since it uses less digits than its factorization.

107124025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16940 (or 16935 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 107124025 is about 10350.0736712354. The cubic root of 107124025 is about 474.9292969557.

Adding to 107124025 its reverse (520421701), we get a palindrome (627545726).

The spelling of 107124025 in words is "one hundred seven million, one hundred twenty-four thousand, twenty-five".

Divisors: 1 5 25 257 1285 6425 16673 83365 416825 4284961 21424805 107124025