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106255638 = 2351937311
BaseRepresentation
bin1100101010101…
…01010100010110
321101221100100000
412111111110112
5204200140023
614313232130
72430105126
oct625252426
9241840300
10106255638
1154a84485
122b702646
1319023c78
141017cc86
1594dd243
hex6555516

106255638 has 96 divisors (see below), whose sum is σ = 258935040. Its totient is φ = 32542560.

The previous prime is 106255621. The next prime is 106255663. The reversal of 106255638 is 836552601.

106255638 is a `hidden beast` number, since 10 + 6 + 2 + 5 + 5 + 638 = 666.

It is a super-2 number, since 2×1062556382 = 22580521213574088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 341503 + ... + 341813.

It is an arithmetic number, because the mean of its divisors is an integer number (2697240).

Almost surely, 2106255638 is an apocalyptic number.

106255638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106255638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129467520).

106255638 is an abundant number, since it is smaller than the sum of its proper divisors (152679402).

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

106255638 is a wasteful number, since it uses less digits than its factorization.

106255638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 106255638 is about 10308.0375435870. The cubic root of 106255638 is about 473.6424960108.

The spelling of 106255638 in words is "one hundred six million, two hundred fifty-five thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 81 111 114 162 171 222 243 311 333 342 486 513 622 666 703 933 999 1026 1406 1539 1866 1998 2109 2799 2997 3078 4218 4617 5598 5909 5994 6327 8397 8991 9234 11507 11818 12654 16794 17727 17982 18981 23014 25191 34521 35454 37962 50382 53181 56943 69042 75573 103563 106362 113886 151146 159543 170829 207126 218633 310689 319086 341658 437266 478629 621378 655899 932067 957258 1311798 1435887 1864134 1967697 2796201 2871774 3935394 5592402 5903091 11806182 17709273 35418546 53127819 106255638