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106933995 = 325717191051
BaseRepresentation
bin1100101111110…
…10111011101011
321110012210212100
412113322323223
5204333341440
614335544443
72435631630
oct627727353
9243183770
10106933995
11553a8103
122b98b123
131920096c
14102b8187
1595c4230
hex65faeeb

106933995 has 96 divisors (see below), whose sum is σ = 236321280. Its totient is φ = 43545600.

The previous prime is 106933993. The next prime is 106933997. The reversal of 106933995 is 599339601.

It is an interprime number because it is at equal distance from previous prime (106933993) and next prime (106933997).

It is not a de Polignac number, because 106933995 - 21 = 106933993 is a prime.

It is a super-2 number, since 2×1069339952 = 22869758573320050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106933995.

It is not an unprimeable number, because it can be changed into a prime (106933993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101220 + ... + 102270.

It is an arithmetic number, because the mean of its divisors is an integer number (2461680).

Almost surely, 2106933995 is an apocalyptic number.

106933995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106933995 is an abundant number, since it is smaller than the sum of its proper divisors (129387285).

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

106933995 is a wasteful number, since it uses less digits than its factorization.

106933995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 106933995 is about 10340.8894685129. The cubic root of 106933995 is about 474.6483010633.

The spelling of 106933995 in words is "one hundred six million, nine hundred thirty-three thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 17 19 21 35 45 51 57 63 85 95 105 119 133 153 171 255 285 315 323 357 399 595 665 765 855 969 1051 1071 1197 1615 1785 1995 2261 2907 3153 4845 5255 5355 5985 6783 7357 9459 11305 14535 15765 17867 19969 20349 22071 33915 36785 47295 53601 59907 66213 89335 99845 101745 110355 125069 139783 160803 179721 268005 299535 331065 339473 375207 419349 625345 698915 804015 898605 1018419 1125621 1258047 1697365 1876035 2096745 2376311 3055257 5092095 5628105 6290235 7128933 11881555 15276285 21386799 35644665 106933995