Search a number
-
+
106810668 = 22322966963
BaseRepresentation
bin1100101110111…
…00110100101100
321102222112200200
412113130310230
5204320420133
614333153500
72434606236
oct627346454
9242875620
10106810668
1155323488
122b92b890
13191897a3
1410285256
15959c913
hex65dcd2c

106810668 has 18 divisors (see below), whose sum is σ = 269993724. Its totient is φ = 35603544.

The previous prime is 106810661. The next prime is 106810679. The reversal of 106810668 is 866018601.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1068106682 = 22817037597212448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2966963 = 106810668 / (1 + 0 + 6 + 8 + 1 + 0 + 6 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (106810661) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1483446 + ... + 1483517.

Almost surely, 2106810668 is an apocalyptic number.

106810668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106810668 is an abundant number, since it is smaller than the sum of its proper divisors (163183056).

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

106810668 is a wasteful number, since it uses less digits than its factorization.

106810668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966973 (or 2966968 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 106810668 is about 10334.9246731653. The cubic root of 106810668 is about 474.4657602071.

The spelling of 106810668 in words is "one hundred six million, eight hundred ten thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2966963 5933926 8900889 11867852 17801778 26702667 35603556 53405334 106810668