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106921191 = 31323911471
BaseRepresentation
bin1100101111101…
…11110011100111
321110012011022010
412113313303213
5204332434231
614335405303
72435546406
oct627676347
9243164263
10106921191
1155399523
122b983833
13191c7ba0
14102b363d
1595c0546
hex65f7ce7

106921191 has 16 divisors (see below), whose sum is σ = 154183680. Its totient is φ = 65516640.

The previous prime is 106921127. The next prime is 106921237. The reversal of 106921191 is 191129601.

It is not a de Polignac number, because 106921191 - 26 = 106921127 is a prime.

It is a super-2 number, since 2×1069211912 = 22864282169716962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106921121) 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 15 ways as a sum of consecutive naturals, for example, 3586 + ... + 15056.

It is an arithmetic number, because the mean of its divisors is an integer number (9636480).

Almost surely, 2106921191 is an apocalyptic number.

106921191 is a deficient number, since it is larger than the sum of its proper divisors (47262489).

106921191 is a wasteful number, since it uses less digits than its factorization.

106921191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11726.

The product of its (nonzero) digits is 972, while the sum is 30.

The square root of 106921191 is about 10340.2703542993. The cubic root of 106921191 is about 474.6293559204.

The spelling of 106921191 in words is "one hundred six million, nine hundred twenty-one thousand, one hundred ninety-one".

Divisors: 1 3 13 39 239 717 3107 9321 11471 34413 149123 447369 2741569 8224707 35640397 106921191