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106162582276 = 22101216132
BaseRepresentation
bin110001011011111001…
…0000111001100000100
3101011000122121221212201
41202313302013030010
53214410110113101
6120434224324244
710445544026452
oct1426762071404
9334018557781
10106162582276
1141029012403
12186a9773684
13a01b49142a
1451d16b19d2
152b65289e01
hex18b7c87304

106162582276 has 27 divisors (see below), whose sum is σ = 187758585343. Its totient is φ = 52523151200.

The previous prime is 106162582199. The next prime is 106162582283. The reversal of 106162582276 is 672285261601.

The square root of 106162582276 is 325826.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 45339184900 + 60823397376 = 212930^2 + 246624^2 .

It is a super-2 number, since 2×1061625822762 (a number of 23 digits) 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 (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65816046 + ... + 65817658.

Almost surely, 2106162582276 is an apocalyptic number.

106162582276 is the 325826-th square number.

It is an amenable number.

106162582276 is a deficient number, since it is larger than the sum of its proper divisors (81596003067).

106162582276 is an frugal number, since it uses more digits than its factorization.

106162582276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 106162582276 in words is "one hundred six billion, one hundred sixty-two million, five hundred eighty-two thousand, two hundred seventy-six".

Divisors: 1 2 4 101 202 404 1613 3226 6452 10201 20402 40804 162913 325826 651652 2601769 5203538 10407076 16454213 32908426 65816852 262778669 525557338 1051114676 26540645569 53081291138 106162582276