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106978221 = 32722353199
BaseRepresentation
bin1100110000001…
…01101110101101
321110022001112100
412120011232231
5204341300341
614340525313
72436204600
oct630055655
9243261470
10106978221
1155428359
122b9b0839
1319217b2c
14102ca337
1595d23b6
hex6605bad

106978221 has 72 divisors (see below), whose sum is σ = 192067200. Its totient is φ = 57081024.

The previous prime is 106978177. The next prime is 106978237. The reversal of 106978221 is 122879601.

It is not a de Polignac number, because 106978221 - 211 = 106976173 is a prime.

It is a super-2 number, since 2×1069782212 = 22888679536649682, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106978271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537480 + ... + 537678.

It is an arithmetic number, because the mean of its divisors is an integer number (2667600).

Almost surely, 2106978221 is an apocalyptic number.

It is an amenable number.

106978221 is a deficient number, since it is larger than the sum of its proper divisors (85088979).

106978221 is a wasteful number, since it uses less digits than its factorization.

106978221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106978221 is about 10343.0276515148. The cubic root of 106978221 is about 474.7137274118.

The spelling of 106978221 in words is "one hundred six million, nine hundred seventy-eight thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 23 49 53 63 69 147 159 161 199 207 371 441 477 483 597 1113 1127 1219 1393 1449 1791 2597 3339 3381 3657 4179 4577 7791 8533 9751 10143 10547 10971 12537 13731 23373 25599 29253 31641 32039 41193 59731 73829 76797 87759 94923 96117 179193 221487 224273 242581 288351 516803 537579 664461 672819 727743 1550409 1698067 2018457 2183229 4651227 5094201 11886469 15282603 35659407 106978221