Search a number
-
+
106975323 = 3471323631
BaseRepresentation
bin1100110000001…
…01000001011011
321110021220120000
412120011001123
5204341202243
614340504043
72436163260
oct630050133
9243256500
10106975323
1155426164
122b9ab023
1319216710
14102c9267
1595d15d3
hex660505b

106975323 has 80 divisors (see below), whose sum is σ = 205556736. Its totient is φ = 53887680.

The previous prime is 106975313. The next prime is 106975331. The reversal of 106975323 is 323579601.

It is not a de Polignac number, because 106975323 - 24 = 106975307 is a prime.

It is a super-2 number, since 2×1069753232 = 22887439461908658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106975313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169218 + ... + 169848.

Almost surely, 2106975323 is an apocalyptic number.

106975323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106975323 is a deficient number, since it is larger than the sum of its proper divisors (98581413).

106975323 is a wasteful number, since it uses less digits than its factorization.

106975323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 106975323 is about 10342.8875561905. The cubic root of 106975323 is about 474.7094407673.

The spelling of 106975323 in words is "one hundred six million, nine hundred seventy-five thousand, three hundred twenty-three".

Divisors: 1 3 7 9 13 21 23 27 39 63 69 81 91 117 161 189 207 273 299 351 483 567 621 631 819 897 1053 1449 1863 1893 2093 2457 2691 4347 4417 5679 6279 7371 8073 8203 13041 13251 14513 17037 18837 24219 24609 39753 43539 51111 56511 57421 73827 101591 119259 130617 169533 172263 188669 221481 304773 357777 391851 516789 566007 664443 914319 1175553 1320683 1550367 1698021 2742957 3962049 4651101 5094063 8228871 11886147 15282189 35658441 106975323