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106056006 = 2377334591
BaseRepresentation
bin1100101001001…
…00100101000110
321101120012111020
412110210211012
5204122243011
614305052010
72425314120
oct624444506
9241505436
10106056006
11549584a1
122b627006
1318c84144
141012a210
15949e006
hex6524946

106056006 has 32 divisors (see below), whose sum is σ = 245741568. Its totient is φ = 29885760.

The previous prime is 106056001. The next prime is 106056007. The reversal of 106056006 is 600650601.

It is a super-2 number, since 2×1060560062 = 22495752817344072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106056001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14230 + ... + 20361.

It is an arithmetic number, because the mean of its divisors is an integer number (7679424).

Almost surely, 2106056006 is an apocalyptic number.

106056006 is an abundant number, since it is smaller than the sum of its proper divisors (139685562).

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

106056006 is a wasteful number, since it uses less digits than its factorization.

106056006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34676.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106056006 is about 10298.3496736128. The cubic root of 106056006 is about 473.3456851678.

The spelling of 106056006 in words is "one hundred six million, fifty-six thousand, six".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 3066 34591 69182 103773 207546 242137 484274 726411 1452822 2525143 5050286 7575429 15150858 17676001 35352002 53028003 106056006