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106331020 = 22571103727
BaseRepresentation
bin1100101011001…
…11101110001100
321102002011201221
412111213232030
5204210043040
614315013124
72430540655
oct625475614
9242064657
10106331020
1155026084
122b73a1a4
131904c383
141019c52c
15950574a
hex6567b8c

106331020 has 48 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 41469120.

The previous prime is 106330963. The next prime is 106331041. The reversal of 106331020 is 20133601.

It is a super-2 number, since 2×1063310202 = 22612571628480800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106330985 and 106331003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145897 + ... + 146623.

It is an arithmetic number, because the mean of its divisors is an integer number (4769856).

Almost surely, 2106331020 is an apocalyptic number.

106331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106331020 is an abundant number, since it is smaller than the sum of its proper divisors (122622068).

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

106331020 is a wasteful number, since it uses less digits than its factorization.

106331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 106331020 is about 10311.6933623920. The cubic root of 106331020 is about 473.7544765115.

Adding to 106331020 its reverse (20133601), we get a palindrome (126464621).

The spelling of 106331020 in words is "one hundred six million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 71 103 142 206 284 355 412 515 710 727 1030 1420 1454 2060 2908 3635 7270 7313 14540 14626 29252 36565 51617 73130 74881 103234 146260 149762 206468 258085 299524 374405 516170 748810 1032340 1497620 5316551 10633102 21266204 26582755 53165510 106331020