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106720200 = 23335219763
BaseRepresentation
bin1100101110001…
…10101111001000
321102210221121000
412113012233020
5204310021300
614331215000
72434051416
oct627065710
9242727530
10106720200
1155271514
122b8a7460
1319157562
14102602b6
159580c00
hex65c6bc8

106720200 has 96 divisors (see below), whose sum is σ = 367610400. Its totient is φ = 28457280.

The previous prime is 106720199. The next prime is 106720223. The reversal of 106720200 is 2027601.

It is a happy number.

It is a super-2 number, since 2×1067202002 = 22778402176080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4482 + ... + 15281.

It is an arithmetic number, because the mean of its divisors is an integer number (3829275).

Almost surely, 2106720200 is an apocalyptic number.

106720200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106720200 is an abundant number, since it is smaller than the sum of its proper divisors (260890200).

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

106720200 is a wasteful number, since it uses less digits than its factorization.

106720200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19788 (or 19773 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 106720200 is about 10330.5469361501. The cubic root of 106720200 is about 474.3317658109.

Adding to 106720200 its reverse (2027601), we get a palindrome (108747801).

The spelling of 106720200 in words is "one hundred six million, seven hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 19763 39526 59289 79052 98815 118578 158104 177867 197630 237156 296445 355734 395260 474312 494075 533601 592890 711468 790520 889335 988150 1067202 1185780 1422936 1482225 1778670 1976300 2134404 2371560 2668005 2964450 3557340 3952600 4268808 4446675 5336010 5928900 7114680 8893350 10672020 11857800 13340025 17786700 21344040 26680050 35573400 53360100 106720200