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106722396 = 2232111783191
BaseRepresentation
bin1100101110001…
…11010001011100
321102211001121100
412113013101130
5204310104041
614331233100
72434061004
oct627072134
9242731540
10106722396
1155273130
122b8a8790
1319158561
1410261004
1595816b6
hex65c745c

106722396 has 144 divisors (see below), whose sum is σ = 317011968. Its totient is φ = 29913600.

The previous prime is 106722389. The next prime is 106722401. The reversal of 106722396 is 693227601.

It is a super-2 number, since 2×1067223962 = 22779339615961632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106722396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558661 + ... + 558851.

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

Almost surely, 2106722396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106722396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

106722396 is an abundant number, since it is smaller than the sum of its proper divisors (210289572).

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

106722396 is a wasteful number, since it uses less digits than its factorization.

106722396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 106722396 is about 10330.6532223282. The cubic root of 106722396 is about 474.3350192575.

Adding to 106722396 its reverse (693227601), we get a palindrome (799949997).

The spelling of 106722396 in words is "one hundred six million, seven hundred twenty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 83 99 102 132 153 166 187 191 198 204 249 306 332 374 382 396 498 561 573 612 747 748 764 913 996 1122 1146 1411 1494 1683 1719 1826 2101 2244 2292 2739 2822 2988 3247 3366 3438 3652 4202 4233 5478 5644 6303 6494 6732 6876 8217 8404 8466 9741 10956 12606 12699 12988 15521 15853 16434 16932 18909 19482 25212 25398 29223 31042 31706 32868 35717 37818 38964 46563 47559 50796 58446 62084 63412 71434 75636 93126 95118 107151 116892 139689 142677 142868 174383 186252 190236 214302 269501 279378 285354 321453 348766 428604 523149 539002 558756 570708 642906 697532 808503 1046298 1078004 1285812 1569447 1617006 2092596 2425509 2964511 3138894 3234012 4851018 5929022 6277788 8893533 9702036 11858044 17787066 26680599 35574132 53361198 106722396