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106622300 = 225217193301
BaseRepresentation
bin1100101101011…
…10110101011100
321102121222022002
412112232311130
5204243403200
614325141432
72433163121
oct626566534
9242558262
10106622300
1155204a04
122b85a878
1319121b25
1410236748
159561bd5
hex65aed5c

106622300 has 72 divisors (see below), whose sum is σ = 257952240. Its totient is φ = 38016000.

The previous prime is 106622297. The next prime is 106622323. The reversal of 106622300 is 3226601.

It is a super-2 number, since 2×1066223002 = 22736629714580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30650 + ... + 33950.

It is an arithmetic number, because the mean of its divisors is an integer number (3582670).

Almost surely, 2106622300 is an apocalyptic number.

106622300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106622300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128976120).

106622300 is an abundant number, since it is smaller than the sum of its proper divisors (151329940).

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

106622300 is a wasteful number, since it uses less digits than its factorization.

106622300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 106622300 is about 10325.8074744787. The cubic root of 106622300 is about 474.1866783553.

Adding to 106622300 its reverse (3226601), we get a palindrome (109848901).

The spelling of 106622300 in words is "one hundred six million, six hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 3301 6460 6602 8075 13204 16150 16505 32300 33010 56117 62719 66020 82525 112234 125438 165050 224468 250876 280585 313595 330100 561170 627190 1066223 1122340 1254380 1402925 1567975 2132446 2805850 3135950 4264892 5331115 5611700 6271900 10662230 21324460 26655575 53311150 106622300