Search a number
-
+
105299072 = 279072
BaseRepresentation
bin1100100011010…
…11110010000000
321100010202011122
412101223302000
5203424032242
614240531412
72416012244
oct621536200
9240122148
10105299072
115449082a
122b320b68
1318a7a758
14ddb0424
15939ead2
hex646bc80

105299072 has 24 divisors (see below), whose sum is σ = 210007035. Its totient is φ = 52591488.

The previous prime is 105299041. The next prime is 105299081. The reversal of 105299072 is 270992501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 52649536 + 52649536 = 7256^2 + 7256^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7256.

It is a super-2 number, since 2×1052990722 = 22175789128122368, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 115643 + ... + 116549.

Almost surely, 2105299072 is an apocalyptic number.

It is an amenable number.

105299072 is a deficient number, since it is larger than the sum of its proper divisors (104707963).

105299072 is an frugal number, since it uses more digits than its factorization.

105299072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 105299072 is about 10261.5336085792. The cubic root of 105299072 is about 472.2168877788.

The spelling of 105299072 in words is "one hundred five million, two hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 907 1814 3628 7256 14512 29024 58048 116096 822649 1645298 3290596 6581192 13162384 26324768 52649536 105299072