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106363320 = 23357218089
BaseRepresentation
bin1100101011011…
…11100110111000
321102010211001020
412111233212320
5204212111240
614315422440
72431034100
oct625574670
9242124036
10106363320
1155048378
122b754a20
1319060c9b
14101aa200
1595100d0
hex656f9b8

106363320 has 96 divisors (see below), whose sum is σ = 371206800. Its totient is φ = 24310272.

The previous prime is 106363319. The next prime is 106363331. The reversal of 106363320 is 23363601.

It is a super-2 number, since 2×1063633202 = 22626311682844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3165 + ... + 14924.

Almost surely, 2106363320 is an apocalyptic number.

106363320 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 106363320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185603400).

106363320 is an abundant number, since it is smaller than the sum of its proper divisors (264843480).

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

106363320 is a wasteful number, since it uses less digits than its factorization.

106363320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18117 (or 18106 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 106363320 is about 10313.2594265828. The cubic root of 106363320 is about 473.8024421958.

The spelling of 106363320 in words is "one hundred six million, three hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 18089 36178 54267 72356 90445 108534 126623 144712 180890 217068 253246 271335 361780 379869 434136 506492 542670 633115 723560 759738 886361 1012984 1085340 1266230 1519476 1772722 1899345 2170680 2532460 2659083 3038952 3545444 3798690 4431805 5064920 5318166 7090888 7597380 8863610 10636332 13295415 15194760 17727220 21272664 26590830 35454440 53181660 106363320