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106300023 = 3311736607
BaseRepresentation
bin1100101011000…
…00001001110111
321102000121012220
412111200021313
5204203100043
614314213423
72430351414
oct625401167
9242017186
10106300023
1155004865
122b724273
131903b22b
141019110b
1594eb483
hex6560277

106300023 has 16 divisors (see below), whose sum is σ = 147173376. Its totient is φ = 68173920.

The previous prime is 106299979. The next prime is 106300049. The reversal of 106300023 is 320003601.

It is not a de Polignac number, because 106300023 - 212 = 106295927 is a prime.

It is a super-2 number, since 2×1063000232 = 22599389779601058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106299975 and 106300011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106300723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12786 + ... + 19392.

It is an arithmetic number, because the mean of its divisors is an integer number (9198336).

Almost surely, 2106300023 is an apocalyptic number.

106300023 is a deficient number, since it is larger than the sum of its proper divisors (40873353).

106300023 is a wasteful number, since it uses less digits than its factorization.

106300023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 106300023 is about 10310.1902504270. The cubic root of 106300023 is about 473.7084366550.

Adding to 106300023 its reverse (320003601), we get a palindrome (426303624).

The spelling of 106300023 in words is "one hundred six million, three hundred thousand, twenty-three".

Divisors: 1 3 31 93 173 519 5363 6607 16089 19821 204817 614451 1143011 3429033 35433341 106300023