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103961125 = 537311393
BaseRepresentation
bin1100011001001…
…01001000100101
321020121202212001
412030211020211
5203103224000
614152125301
72401440442
oct614451045
9236552761
10103961125
1153757594
122a996831
13186cc778
14db429c9
1591d846a
hex6325225

103961125 has 16 divisors (see below), whose sum is σ = 131532336. Its totient is φ = 82022400.

The previous prime is 103961119. The next prime is 103961129. The reversal of 103961125 is 521169301.

It can be written as a sum of positive squares in 8 ways, for example, as 19210689 + 84750436 = 4383^2 + 9206^2 .

It is not a de Polignac number, because 103961125 - 221 = 101863973 is a prime.

It is a super-2 number, since 2×1039611252 = 21615831022531250, 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 = 103961093 and 103961102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103961129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3429 + ... + 14821.

It is an arithmetic number, because the mean of its divisors is an integer number (8220771).

Almost surely, 2103961125 is an apocalyptic number.

It is an amenable number.

103961125 is a deficient number, since it is larger than the sum of its proper divisors (27571211).

103961125 is an equidigital number, since it uses as much as digits as its factorization.

103961125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11481 (or 11471 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 103961125 is about 10196.1328453488. The cubic root of 103961125 is about 470.2083352828.

The spelling of 103961125 in words is "one hundred three million, nine hundred sixty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 73 125 365 1825 9125 11393 56965 284825 831689 1424125 4158445 20792225 103961125