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106026246 = 2351741313
BaseRepresentation
bin1100101000111…
…01010100000110
321101111200200000
412110131110012
5204120314441
614304302130
72425131264
oct624352406
9241450600
10106026246
11549380a7
122b611946
1318c73731
141011d434
1594952b6
hex651d506

106026246 has 96 divisors (see below), whose sum is σ = 259223328. Its totient is φ = 32348160.

The previous prime is 106026241. The next prime is 106026247. The reversal of 106026246 is 642620601.

It is a happy number.

106026246 is a `hidden beast` number, since 10 + 602 + 6 + 2 + 46 = 666.

It is a super-2 number, since 2×1060262462 = 22483129681705032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106026241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338586 + ... + 338898.

It is an arithmetic number, because the mean of its divisors is an integer number (2700243).

Almost surely, 2106026246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106026246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129611664).

106026246 is an abundant number, since it is smaller than the sum of its proper divisors (153197082).

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

106026246 is a wasteful number, since it uses less digits than its factorization.

106026246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106026246 is about 10296.9046805339. The cubic root of 106026246 is about 473.3014064074.

Adding to 106026246 its reverse (642620601), we get a palindrome (748646847).

The spelling of 106026246 in words is "one hundred six million, twenty-six thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 81 82 102 123 153 162 243 246 306 313 369 459 486 626 697 738 918 939 1107 1377 1394 1878 2091 2214 2754 2817 3321 4131 4182 5321 5634 6273 6642 8262 8451 9963 10642 12546 12833 15963 16902 18819 19926 25353 25666 31926 37638 38499 47889 50706 56457 76059 76998 95778 112914 115497 143667 152118 169371 218161 230994 287334 338742 346491 431001 436322 654483 692982 862002 1039473 1293003 1308966 1963449 2078946 2586006 3118419 3926898 5890347 6236838 11780694 17671041 35342082 53013123 106026246