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606106010105 = 52910141386549
BaseRepresentation
bin10001101000111101011…
…10111100000111111001
32010221110120101111200122
420310132232330013321
534412301114310410
61142235151143025
761534605036521
oct10643656740771
92127416344618
10606106010105
11214059050342
1299573814a75
134520399253b
142149b1aa681
1510b75e45e55
hex8d1ebbc1f9

606106010105 has 16 divisors (see below), whose sum is σ = 759857058000. Its totient is φ = 463529337600.

The previous prime is 606106010071. The next prime is 606106010119. The reversal of 606106010105 is 501010601606.

It can be written as a sum of positive squares in 8 ways, for example, as 12448088041 + 593657922064 = 111571^2 + 770492^2 .

It is not a de Polignac number, because 606106010105 - 210 = 606106009081 is a prime.

It is a super-2 number, since 2×6061060101052 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20678630 + ... + 20707919.

It is an arithmetic number, because the mean of its divisors is an integer number (47491066125).

Almost surely, 2606106010105 is an apocalyptic number.

It is an amenable number.

606106010105 is a deficient number, since it is larger than the sum of its proper divisors (153751047895).

606106010105 is a wasteful number, since it uses less digits than its factorization.

606106010105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41386684.

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 606106010105 in words is "six hundred six billion, one hundred six million, ten thousand, one hundred five".

Divisors: 1 5 29 101 145 505 2929 14645 41386549 206932745 1200209921 4180041449 6001049605 20900207245 121221202021 606106010105