Search a number
-
+
106991912 = 23314379127
BaseRepresentation
bin1100110000010…
…01000100101000
321110022202022102
412120021010220
5204342220122
614341112532
72436262526
oct630110450
9243282272
10106991912
1155437675
122b9b8748
1319221131
14102d1316
1595d6492
hex6609128

106991912 has 64 divisors (see below), whose sum is σ = 216268800. Its totient is φ = 49533120.

The previous prime is 106991909. The next prime is 106991917. The reversal of 106991912 is 219199601.

It is a super-2 number, since 2×1069919122 = 22894538466831488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106991917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842393 + ... + 842519.

It is an arithmetic number, because the mean of its divisors is an integer number (3379200).

Almost surely, 2106991912 is an apocalyptic number.

It is an amenable number.

106991912 is an abundant number, since it is smaller than the sum of its proper divisors (109276888).

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

106991912 is a wasteful number, since it uses less digits than its factorization.

106991912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 38.

The square root of 106991912 is about 10343.6894771643. The cubic root of 106991912 is about 474.7339777280.

The spelling of 106991912 in words is "one hundred six million, nine hundred ninety-one thousand, nine hundred twelve".

Divisors: 1 2 4 8 31 43 62 79 86 124 127 158 172 248 254 316 344 508 632 1016 1333 2449 2666 3397 3937 4898 5332 5461 6794 7874 9796 10033 10664 10922 13588 15748 19592 20066 21844 27176 31496 40132 43688 80264 105307 169291 210614 311023 338582 421228 431419 622046 677164 842456 862838 1244092 1354328 1725676 2488184 3451352 13373989 26747978 53495956 106991912