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106999704 = 233672621
BaseRepresentation
bin1100110000010…
…10111110011000
321110100011000000
412120022332120
5204342442304
614341213000
72436324330
oct630127630
9243304000
10106999704
1155442509
122ba01160
1319224846
14102d40c0
1595d8939
hex660af98

106999704 has 112 divisors (see below), whose sum is σ = 343901520. Its totient is φ = 30559680.

The previous prime is 106999691. The next prime is 106999747. The reversal of 106999704 is 407999601.

It is a super-2 number, since 2×1069997042 = 22897873312175232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106999704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 39514 + ... + 42134.

Almost surely, 2106999704 is an apocalyptic number.

106999704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106999704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171950760).

106999704 is an abundant number, since it is smaller than the sum of its proper divisors (236901816).

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

106999704 is an equidigital number, since it uses as much as digits as its factorization.

106999704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 106999704 is about 10344.0661250787. The cubic root of 106999704 is about 474.7455020800.

The spelling of 106999704 in words is "one hundred six million, nine hundred ninety-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2268 2621 2916 3402 4536 5103 5242 5832 6804 7863 10206 10484 13608 15726 18347 20412 20968 23589 31452 36694 40824 47178 55041 62904 70767 73388 94356 110082 141534 146776 165123 188712 212301 220164 283068 330246 424602 440328 495369 566136 636903 660492 849204 990738 1273806 1320984 1486107 1698408 1910709 1981476 2547612 2972214 3821418 3962952 4458321 5095224 5944428 7642836 8916642 11888856 13374963 15285672 17833284 26749926 35666568 53499852 106999704