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106150666005 = 32519331220333
BaseRepresentation
bin110001011011100010…
…0101001111100010101
3101010222211012112211100
41202313010221330111
53214344032303010
6120433121100313
710445340526236
oct1426704517425
9333884175740
10106150666005
114102231354a
12186a5787699
13a018b7b597
1451cdc8d08d
152b641d42c0
hex18b7129f15

106150666005 has 24 divisors (see below), whose sum is σ = 184089824568. Its totient is φ = 56584354176.

The previous prime is 106150666001. The next prime is 106150666009. The reversal of 106150666005 is 500666051601.

It is an interprime number because it is at equal distance from previous prime (106150666001) and next prime (106150666009).

It can be written as a sum of positive squares in 4 ways, for example, as 47968884324 + 58181781681 = 219018^2 + 241209^2 .

It is not a de Polignac number, because 106150666005 - 22 = 106150666001 is a prime.

It is a super-2 number, since 2×1061506660052 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106150666001) 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 23 ways as a sum of consecutive naturals, for example, 523182 + ... + 697151.

It is an arithmetic number, because the mean of its divisors is an integer number (7670409357).

Almost surely, 2106150666005 is an apocalyptic number.

106150666005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106150666005 is a deficient number, since it is larger than the sum of its proper divisors (77939158563).

106150666005 is a wasteful number, since it uses less digits than its factorization.

106150666005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222277 (or 1222274 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106150666005 in words is "one hundred six billion, one hundred fifty million, six hundred sixty-six thousand, five".

Divisors: 1 3 5 9 15 45 1933 5799 9665 17397 28995 86985 1220333 3660999 6101665 10982997 18304995 54914985 2358903689 7076711067 11794518445 21230133201 35383555335 106150666005