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106870125 = 353521547
BaseRepresentation
bin1100101111010…
…11010101101101
321110002120020210
412113223111231
5204324321000
614334333033
72435244465
oct627532555
9243076223
10106870125
115536411a
122b95a179
13191aa87b
141029cba5
1595b0350
hex65eb56d

106870125 has 32 divisors (see below), whose sum is σ = 178498944. Its totient is φ = 56784000.

The previous prime is 106870111. The next prime is 106870163. The reversal of 106870125 is 521078601.

It is not a de Polignac number, because 106870125 - 26 = 106870061 is a prime.

It is a super-2 number, since 2×1068701252 = 22842447235031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106870092 and 106870101.

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 31 ways as a sum of consecutive naturals, for example, 195102 + ... + 195648.

It is an arithmetic number, because the mean of its divisors is an integer number (5578092).

Almost surely, 2106870125 is an apocalyptic number.

106870125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106870125 is a deficient number, since it is larger than the sum of its proper divisors (71628819).

106870125 is an equidigital number, since it uses as much as digits as its factorization.

106870125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 106870125 is about 10337.8007815976. The cubic root of 106870125 is about 474.5537822444.

The spelling of 106870125 in words is "one hundred six million, eight hundred seventy thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 521 547 1563 1641 2605 2735 7815 8205 13025 13675 39075 41025 65125 68375 195375 205125 284987 854961 1424935 4274805 7124675 21374025 35623375 106870125