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106058325 = 35217193431
BaseRepresentation
bin1100101001001…
…01001001010101
321101120022200010
412110211021111
5204122331300
614305110433
72425323642
oct624451125
9241508603
10106058325
115495a20a
122b628419
1318c85209
141012adc9
15949ea50
hex6525255

106058325 has 48 divisors (see below), whose sum is σ = 187059456. Its totient is φ = 52838400.

The previous prime is 106058279. The next prime is 106058371. The reversal of 106058325 is 523850601.

It is an interprime number because it is at equal distance from previous prime (106058279) and next prime (106058371).

It is not a de Polignac number, because 106058325 - 26 = 106058261 is a prime.

It is a super-2 number, since 2×1060583252 = 22496736603611250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106058292 and 106058301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245860 + ... + 246290.

It is an arithmetic number, because the mean of its divisors is an integer number (3897072).

Almost surely, 2106058325 is an apocalyptic number.

106058325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106058325 is a deficient number, since it is larger than the sum of its proper divisors (81001131).

106058325 is a wasteful number, since it uses less digits than its factorization.

106058325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 106058325 is about 10298.4622638528. The cubic root of 106058325 is about 473.3491351708.

The spelling of 106058325 in words is "one hundred six million, fifty-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 193 255 425 431 579 965 1275 1293 2155 2895 3281 4825 6465 7327 9843 10775 14475 16405 21981 32325 36635 49215 82025 83183 109905 183175 246075 249549 415915 549525 1247745 1414111 2079575 4242333 6238725 7070555 21211665 35352775 106058325