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106311608 = 231317157383
BaseRepresentation
bin1100101011000…
…10111110111000
321102001012002222
412111202332320
5204203432413
614314343212
72430430244
oct625427670
9242035088
10106311608
1155012537
122b72ab08
13190435a0
1410195424
1594eeb08
hex6562fb8

106311608 has 64 divisors (see below), whose sum is σ = 229340160. Its totient is φ = 45766656.

The previous prime is 106311599. The next prime is 106311661. The reversal of 106311608 is 806113601.

It is a super-2 number, since 2×1063116082 = 22604315991091328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277385 + ... + 277767.

It is an arithmetic number, because the mean of its divisors is an integer number (3583440).

Almost surely, 2106311608 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 106311608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

106311608 is an abundant number, since it is smaller than the sum of its proper divisors (123028552).

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

106311608 is a wasteful number, since it uses less digits than its factorization.

106311608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 106311608 is about 10310.7520579248. The cubic root of 106311608 is about 473.7256449075.

The spelling of 106311608 in words is "one hundred six million, three hundred eleven thousand, six hundred eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 157 221 314 383 442 628 766 884 1256 1532 1768 2041 2669 3064 4082 4979 5338 6511 8164 9958 10676 13022 16328 19916 21352 26044 34697 39832 52088 60131 69394 84643 120262 138788 169286 240524 277576 338572 481048 677144 781703 1022227 1563406 2044454 3126812 4088908 6253624 8177816 13288951 26577902 53155804 106311608