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106642203767 = 1125563158429
BaseRepresentation
bin110001101010001011…
…1101110010001110111
3101012021002010020212122
41203110113232101313
53221400401010032
6120554000310155
710463456530031
oct1432427562167
9335232106778
10106642203767
1141254820100
121880231235b
13a09695ca28
145239280c51
152b9242a012
hex18d45ee477

106642203767 has 12 divisors (see below), whose sum is σ = 117240101160. Its totient is φ = 96929418960.

The previous prime is 106642203737. The next prime is 106642203791. The reversal of 106642203767 is 767302246601.

It is not a de Polignac number, because 106642203767 - 216 = 106642138231 is a prime.

It is a super-2 number, since 2×1066422037672 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106642203737) 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, 593909 + ... + 752337.

It is an arithmetic number, because the mean of its divisors is an integer number (9770008430).

Almost surely, 2106642203767 is an apocalyptic number.

106642203767 is a deficient number, since it is larger than the sum of its proper divisors (10597897393).

106642203767 is a wasteful number, since it uses less digits than its factorization.

106642203767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164014 (or 164003 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 106642203767 in words is "one hundred six billion, six hundred forty-two million, two hundred three thousand, seven hundred sixty-seven".

Divisors: 1 11 121 5563 61193 158429 673123 1742719 19169909 881340527 9694745797 106642203767