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103542125 = 535315629
BaseRepresentation
bin1100010101111…
…10110101101101
321012211111002112
412022332311231
5203001322000
614135133405
72365044041
oct612766555
9235744075
10103542125
11534a0805
122a814265
13185b3b3b
14da74021
159154235
hex62bed6d

103542125 has 16 divisors (see below), whose sum is σ = 131667120. Its totient is φ = 81265600.

The previous prime is 103542119. The next prime is 103542133. The reversal of 103542125 is 521245301.

It can be written as a sum of positive squares in 8 ways, for example, as 1350244 + 102191881 = 1162^2 + 10109^2 .

It is not a de Polignac number, because 103542125 - 222 = 99347821 is a prime.

It is a super-3 number, since 3×1035421253 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103542125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190 + ... + 14439.

It is an arithmetic number, because the mean of its divisors is an integer number (8229195).

Almost surely, 2103542125 is an apocalyptic number.

It is an amenable number.

103542125 is a deficient number, since it is larger than the sum of its proper divisors (28124995).

103542125 is an equidigital number, since it uses as much as digits as its factorization.

103542125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15697 (or 15687 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 103542125 is about 10175.5650948731. The cubic root of 103542125 is about 469.5757829071.

Adding to 103542125 its reverse (521245301), we get a palindrome (624787426).

The spelling of 103542125 in words is "one hundred three million, five hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 5 25 53 125 265 1325 6625 15629 78145 390725 828337 1953625 4141685 20708425 103542125