Search a number
-
+
106516044 = 22323779967
BaseRepresentation
bin1100101100101…
…00111001001100
321102102120112200
412112110321030
5204232003134
614323001500
72432241255
oct626247114
9242376480
10106516044
1155142098
122b809290
13190b565b
1410209b2c
159540499
hex6594e4c

106516044 has 36 divisors (see below), whose sum is σ = 276529344. Its totient is φ = 34545312.

The previous prime is 106516037. The next prime is 106516049. The reversal of 106516044 is 440615601.

106516044 is a `hidden beast` number, since 1 + 0 + 6 + 51 + 604 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1065160442 = 22691335258819872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106515999 and 106516017.

It is not an unprimeable number, because it can be changed into a prime (106516049) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38652 + ... + 41315.

Almost surely, 2106516044 is an apocalyptic number.

It is an amenable number.

106516044 is an abundant number, since it is smaller than the sum of its proper divisors (170013300).

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

106516044 is a wasteful number, since it uses less digits than its factorization.

106516044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80014 (or 80009 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106516044 is about 10320.6610253414. The cubic root of 106516044 is about 474.0291067956.

The spelling of 106516044 in words is "one hundred six million, five hundred sixteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 79967 159934 239901 319868 479802 719703 959604 1439406 2878812 2958779 5917558 8876337 11835116 17752674 26629011 35505348 53258022 106516044