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106757125 = 534791783
BaseRepresentation
bin1100101110011…
…11110000000101
321102212211020121
412113033300011
5204312212000
614332101541
72434264156
oct627176005
9242784217
10106757125
1155297232
122b9048b1
131916b2c7
141026d92d
15958bb1a
hex65cfc05

106757125 has 16 divisors (see below), whose sum is σ = 133585920. Its totient is φ = 85179600.

The previous prime is 106757083. The next prime is 106757129. The reversal of 106757125 is 521757601.

It is a happy number.

It is not a de Polignac number, because 106757125 - 29 = 106756613 is a prime.

It is a super-2 number, since 2×1067571252 = 22794167476531250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106757129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58984 + ... + 60766.

It is an arithmetic number, because the mean of its divisors is an integer number (8349120).

Almost surely, 2106757125 is an apocalyptic number.

It is an amenable number.

106757125 is a deficient number, since it is larger than the sum of its proper divisors (26828795).

106757125 is an equidigital number, since it uses as much as digits as its factorization.

106757125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 34.

The square root of 106757125 is about 10332.3339570496. Note that the first 3 decimals coincide. The cubic root of 106757125 is about 474.3864654861.

The spelling of 106757125 in words is "one hundred six million, seven hundred fifty-seven thousand, one hundred twenty-five".

Divisors: 1 5 25 125 479 1783 2395 8915 11975 44575 59875 222875 854057 4270285 21351425 106757125