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106664349 = 31129227491
BaseRepresentation
bin1100101101110…
…01000110011101
321102201002222110
412112321012131
5204301224344
614330104233
72433426531
oct626710635
9242632873
10106664349
1155233560
122b87b079
1319137ccc
1410247bc1
15956e3b9
hex65b919d

106664349 has 32 divisors (see below), whose sum is σ = 161533440. Its totient is φ = 62014400.

The previous prime is 106664333. The next prime is 106664353. The reversal of 106664349 is 943466601.

It is a cyclic number.

It is not a de Polignac number, because 106664349 - 24 = 106664333 is a prime.

It is a super-2 number, since 2×1066643492 = 22754566695187602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106664359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216994 + ... + 217484.

It is an arithmetic number, because the mean of its divisors is an integer number (5047920).

Almost surely, 2106664349 is an apocalyptic number.

It is an amenable number.

106664349 is a deficient number, since it is larger than the sum of its proper divisors (54869091).

106664349 is a wasteful number, since it uses less digits than its factorization.

106664349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761.

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 106664349 is about 10327.8433857219. The cubic root of 106664349 is about 474.2490057017.

The spelling of 106664349 in words is "one hundred six million, six hundred sixty-four thousand, three hundred forty-nine".

Divisors: 1 3 11 29 33 87 227 319 491 681 957 1473 2497 5401 6583 7491 14239 16203 19749 42717 72413 111457 156629 217239 334371 469887 1226027 3232253 3678081 9696759 35554783 106664349