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106054751 = 11193116369
BaseRepresentation
bin1100101001001…
…00010001011111
321101120010202202
412110210101133
5204122223001
614305042115
72425310345
oct624442137
9241503682
10106054751
1154957560
122b62633b
1318c836ba
1410129995
15949d96b
hex652445f

106054751 has 16 divisors (see below), whose sum is σ = 125721600. Its totient is φ = 88387200.

The previous prime is 106054693. The next prime is 106054757. The reversal of 106054751 is 157450601.

It is not a de Polignac number, because 106054751 - 226 = 38945887 is a prime.

It is a super-2 number, since 2×1060547512 = 22495220419344002, which 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 (106054757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1706 + ... + 14663.

It is an arithmetic number, because the mean of its divisors is an integer number (7857600).

Almost surely, 2106054751 is an apocalyptic number.

106054751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106054751 is a deficient number, since it is larger than the sum of its proper divisors (19666849).

106054751 is a wasteful number, since it uses less digits than its factorization.

106054751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16430.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 106054751 is about 10298.2887413395. The cubic root of 106054751 is about 473.3438180688.

The spelling of 106054751 in words is "one hundred six million, fifty-four thousand, seven hundred fifty-one".

Divisors: 1 11 19 31 209 341 589 6479 16369 180059 311011 507439 3421121 5581829 9641341 106054751