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106006014 = 2326778699
BaseRepresentation
bin1100101000110…
…00010111111110
321101110122220200
412110120113332
5204114143024
614304024330
72425015302
oct624302776
9241418820
10106006014
1154923984
122b6020a6
1318c6746a
1410115d02
15948e2c9
hex65185fe

106006014 has 24 divisors (see below), whose sum is σ = 230045400. Its totient is φ = 35279088.

The previous prime is 106006013. The next prime is 106006037. The reversal of 106006014 is 410600601.

106006014 is a `hidden beast` number, since 1 + 0 + 60 + 0 + 601 + 4 = 666.

It is a super-2 number, since 2×1060060142 = 22474550008336392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7837 + ... + 16535.

It is an arithmetic number, because the mean of its divisors is an integer number (9585225).

Almost surely, 2106006014 is an apocalyptic number.

106006014 is an abundant number, since it is smaller than the sum of its proper divisors (124039386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106006014 is a wasteful number, since it uses less digits than its factorization.

106006014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106006014 is about 10295.9222025033. The cubic root of 106006014 is about 473.2712992608.

Adding to 106006014 its reverse (410600601), we get a palindrome (516606615).

The spelling of 106006014 in words is "one hundred six million, six thousand, fourteen".

Divisors: 1 2 3 6 9 18 677 1354 2031 4062 6093 8699 12186 17398 26097 52194 78291 156582 5889223 11778446 17667669 35335338 53003007 106006014