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106187064 = 2339745613
BaseRepresentation
bin1100101010001…
…00100100111000
321101210212021020
412111010210320
5204140441224
614311542440
72426401164
oct625044470
9241725236
10106187064
1154a37a05
122b68aa20
1318ccb9a9
1410161ca4
1594c7c79
hex6544938

106187064 has 32 divisors (see below), whose sum is σ = 268210320. Its totient is φ = 35030016.

The previous prime is 106187051. The next prime is 106187069. The reversal of 106187064 is 460781601.

It is a happy number.

It is a super-2 number, since 2×1061870642 = 22551385121880192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106187069) 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 7 ways as a sum of consecutive naturals, for example, 20479 + ... + 25134.

Almost surely, 2106187064 is an apocalyptic number.

It is an amenable number.

106187064 is an abundant number, since it is smaller than the sum of its proper divisors (162023256).

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

106187064 is a wasteful number, since it uses less digits than its factorization.

106187064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45719 (or 45715 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 106187064 is about 10304.7107674112. The cubic root of 106187064 is about 473.5405828300.

The spelling of 106187064 in words is "one hundred six million, one hundred eighty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 582 776 1164 2328 45613 91226 136839 182452 273678 364904 547356 1094712 4424461 8848922 13273383 17697844 26546766 35395688 53093532 106187064