Search a number
-
+
106495279 = 1129477103
BaseRepresentation
bin1100101100011…
…11110100101111
321102101112001121
412112033310233
5204230322104
614322321411
72432123602
oct626176457
9242345047
10106495279
1155128530
122b7b9267
13190a9077
1410202339
159539254
hex658fd2f

106495279 has 16 divisors (see below), whose sum is σ = 122757120. Its totient is φ = 91473760.

The previous prime is 106495273. The next prime is 106495283. The reversal of 106495279 is 972594601.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106495279 is a prime.

It is a super-2 number, since 2×1064952792 = 22682488898575682, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106495273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11442 + ... + 18544.

It is an arithmetic number, because the mean of its divisors is an integer number (7672320).

Almost surely, 2106495279 is an apocalyptic number.

106495279 is a deficient number, since it is larger than the sum of its proper divisors (16261841).

106495279 is a wasteful number, since it uses less digits than its factorization.

106495279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190.

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 106495279 is about 10319.6549845428. The cubic root of 106495279 is about 473.9983012514.

The spelling of 106495279 in words is "one hundred six million, four hundred ninety-five thousand, two hundred seventy-nine".

Divisors: 1 11 29 47 319 517 1363 7103 14993 78133 205987 333841 2265857 3672251 9681389 106495279