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106274000097 = 3229407180077
BaseRepresentation
bin110001011111001101…
…1001000110011100001
3101011022102021120101200
41202332123020303201
53220122121000342
6120453244351413
710451366044656
oct1427633106341
9334272246350
10106274000097
11410859a2251
121871ab45569
13a0385a1c35
1452023d5c2d
152b6ee4794c
hex18be6c8ce1

106274000097 has 12 divisors (see below), whose sum is σ = 158800230420. Its totient is φ = 68406252768.

The previous prime is 106274000071. The next prime is 106274000137. The reversal of 106274000097 is 790000472601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25521979536 + 80752020561 = 159756^2 + 284169^2 .

It is not a de Polignac number, because 106274000097 - 211 = 106273998049 is a prime.

It is a super-2 number, since 2×1062740000972 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106274002097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203589778 + ... + 203590299.

It is an arithmetic number, because the mean of its divisors is an integer number (13233352535).

Almost surely, 2106274000097 is an apocalyptic number.

It is an amenable number.

106274000097 is a deficient number, since it is larger than the sum of its proper divisors (52526230323).

106274000097 is a wasteful number, since it uses less digits than its factorization.

106274000097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407180112 (or 407180109 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 106274000097 its reverse (790000472601), we get a palindrome (896274472698).

The spelling of 106274000097 in words is "one hundred six billion, two hundred seventy-four million, ninety-seven", and thus it is an aban number.

Divisors: 1 3 9 29 87 261 407180077 1221540231 3664620693 11808222233 35424666699 106274000097