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106608450 = 235213232377
BaseRepresentation
bin1100101101010…
…11011101000010
321102121021022010
412112223131002
5204242432300
614324553350
72433104544
oct626533502
9242537263
10106608450
11551a5563
122b852856
1319118730
1410231694
15955ca50
hex65ab742

106608450 has 96 divisors (see below), whose sum is σ = 297230976. Its totient is φ = 25090560.

The previous prime is 106608443. The next prime is 106608461. The reversal of 106608450 is 54806601.

It is a super-2 number, since 2×1066084502 = 22730723222805000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 43662 + ... + 46038.

It is an arithmetic number, because the mean of its divisors is an integer number (3096156).

Almost surely, 2106608450 is an apocalyptic number.

106608450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106608450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148615488).

106608450 is an abundant number, since it is smaller than the sum of its proper divisors (190622526).

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

106608450 is a wasteful number, since it uses less digits than its factorization.

106608450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106608450 is about 10325.1368029678. The cubic root of 106608450 is about 474.1661455341.

It can be divided in two parts, 10660 and 8450, that added together give a triangular number (19110 = T195).

The spelling of 106608450 in words is "one hundred six million, six hundred eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 23 25 26 30 39 46 50 65 69 75 78 115 130 138 150 195 230 299 325 345 390 575 598 650 690 897 975 1150 1495 1725 1794 1950 2377 2990 3450 4485 4754 7131 7475 8970 11885 14262 14950 22425 23770 30901 35655 44850 54671 59425 61802 71310 92703 109342 118850 154505 164013 178275 185406 273355 309010 328026 356550 463515 546710 710723 772525 820065 927030 1366775 1421446 1545050 1640130 2132169 2317575 2733550 3553615 4100325 4264338 4635150 7107230 8200650 10660845 17768075 21321690 35536150 53304225 106608450