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106921320 = 23351181001
BaseRepresentation
bin1100101111101…
…11110101101000
321110012011110220
412113313311220
5204332440240
614335410040
72435546652
oct627676550
9243164426
10106921320
1155399630
122b983920
13191c7c6c
14102b36d2
1595c05d0
hex65f7d68

106921320 has 64 divisors (see below), whose sum is σ = 349928640. Its totient is φ = 25920000.

The previous prime is 106921301. The next prime is 106921361. The reversal of 106921320 is 23129601.

It is a super-2 number, since 2×1069213202 = 22864337341084800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39181 + ... + 41820.

It is an arithmetic number, because the mean of its divisors is an integer number (5467635).

Almost surely, 2106921320 is an apocalyptic number.

106921320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106921320 is an abundant number, since it is smaller than the sum of its proper divisors (243007320).

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

106921320 is a wasteful number, since it uses less digits than its factorization.

106921320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81026 (or 81022 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106921320 is about 10340.2765920453. The cubic root of 106921320 is about 474.6295467998.

The spelling of 106921320 in words is "one hundred six million, nine hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 81001 162002 243003 324004 405005 486006 648008 810010 891011 972012 1215015 1620020 1782022 1944024 2430030 2673033 3240040 3564044 4455055 4860060 5346066 7128088 8910110 9720120 10692132 13365165 17820220 21384264 26730330 35640440 53460660 106921320