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106930935 = 3551731167
BaseRepresentation
bin1100101111110…
…10001011110111
321110012122200000
412113322023313
5204333242220
614335522343
72435616666
oct627721367
9243178600
10106930935
11553a5881
122b9893b3
13191cc457
14102b6ddd
1595c3390
hex65fa2f7

106930935 has 96 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 51632640.

The previous prime is 106930931. The next prime is 106930939. The reversal of 106930935 is 539039601.

It is an interprime number because it is at equal distance from previous prime (106930931) and next prime (106930939).

It is not a de Polignac number, because 106930935 - 22 = 106930931 is a prime.

It is a super-2 number, since 2×1069309352 = 22868449719948450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106930935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106930931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 640222 + ... + 640388.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 2106930935 is an apocalyptic number.

106930935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106930935 is a deficient number, since it is larger than the sum of its proper divisors (104410377).

106930935 is a wasteful number, since it uses less digits than its factorization.

106930935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 106930935 is about 10340.7415111297. The cubic root of 106930935 is about 474.6437735425.

The spelling of 106930935 in words is "one hundred six million, nine hundred thirty thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 15 17 27 31 45 51 81 85 93 135 153 155 167 243 255 279 405 459 465 501 527 765 835 837 1215 1377 1395 1503 1581 2295 2505 2511 2635 2839 4131 4185 4509 4743 5177 6885 7515 7533 7905 8517 12555 13527 14195 14229 15531 20655 22545 23715 25551 25885 37665 40581 42585 42687 46593 67635 71145 76653 77655 88009 127755 128061 139779 202905 213435 229959 232965 264027 383265 419337 440045 640305 689877 698895 792081 1149795 1258011 1320135 2096685 2376243 3449385 3960405 6290055 7128729 11881215 21386187 35643645 106930935