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106056030 = 23517207953
BaseRepresentation
bin1100101001001…
…00100101011110
321101120012112010
412110210211132
5204122243110
614305052050
72425314153
oct624444536
9241505463
10106056030
1154958513
122b627026
1318c84162
141012a22a
15949e020
hex652495e

106056030 has 32 divisors (see below), whose sum is σ = 269508384. Its totient is φ = 26617856.

The previous prime is 106056029. The next prime is 106056031. The reversal of 106056030 is 30650601.

It is an interprime number because it is at equal distance from previous prime (106056029) and next prime (106056031).

It is a super-2 number, since 2×1060560302 = 22495762998721800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106055988 and 106056006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106056031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103467 + ... + 104486.

It is an arithmetic number, because the mean of its divisors is an integer number (8422137).

Almost surely, 2106056030 is an apocalyptic number.

106056030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106056030 is an abundant number, since it is smaller than the sum of its proper divisors (163452354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106056030 is a wasteful number, since it uses less digits than its factorization.

106056030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207980.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106056030 is about 10298.3508388479. The cubic root of 106056030 is about 473.3457208731.

The spelling of 106056030 in words is "one hundred six million, fifty-six thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 207953 415906 623859 1039765 1247718 2079530 3119295 3535201 6238590 7070402 10605603 17676005 21211206 35352010 53028015 106056030