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106305126 = 232329101263
BaseRepresentation
bin1100101011000…
…01011001100110
321102000212012220
412111201121212
5204203231001
614314253210
72430402324
oct625413146
9242025186
10106305126
1155008684
122b727206
1319040655
1410192d14
1594ecc36
hex6561666

106305126 has 64 divisors (see below), whose sum is σ = 232657920. Its totient is φ = 32278400.

The previous prime is 106305109. The next prime is 106305151. The reversal of 106305126 is 621503601.

It is a super-2 number, since 2×1063051262 = 22601559627751752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106305096 and 106305105.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 404071 + ... + 404333.

It is an arithmetic number, because the mean of its divisors is an integer number (3635280).

Almost surely, 2106305126 is an apocalyptic number.

106305126 is an abundant number, since it is smaller than the sum of its proper divisors (126352794).

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

106305126 is a wasteful number, since it uses less digits than its factorization.

106305126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106305126 is about 10310.4377210669. The cubic root of 106305126 is about 473.7160167584.

Adding to 106305126 its reverse (621503601), we get a palindrome (727808727).

The spelling of 106305126 in words is "one hundred six million, three hundred five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 23 29 46 58 69 87 101 138 174 202 263 303 526 606 667 789 1334 1578 2001 2323 2929 4002 4646 5858 6049 6969 7627 8787 12098 13938 15254 17574 18147 22881 26563 36294 45762 53126 67367 79689 134734 159378 175421 202101 350842 404202 526263 610949 770327 1052526 1221898 1540654 1832847 2310981 3665694 4621962 17717521 35435042 53152563 106305126