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106616055 = 35713372111
BaseRepresentation
bin1100101101011…
…01010011110111
321102121122201210
412112231103313
5204243203210
614325052503
72433135660
oct626552367
9242548653
10106616055
1155200247
122b857133
131911c030
1410234367
15955ee20
hex65ad4f7

106616055 has 64 divisors (see below), whose sum is σ = 215728128. Its totient is φ = 43752960.

The previous prime is 106616051. The next prime is 106616057. The reversal of 106616055 is 550616601.

It is not a de Polignac number, because 106616055 - 22 = 106616051 is a prime.

It is a super-2 number, since 2×1066160552 = 22733966367526050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106616051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49450 + ... + 51560.

It is an arithmetic number, because the mean of its divisors is an integer number (3370752).

Almost surely, 2106616055 is an apocalyptic number.

106616055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106616055 is an abundant number, since it is smaller than the sum of its proper divisors (109112073).

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

106616055 is a wasteful number, since it uses less digits than its factorization.

106616055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 106616055 is about 10325.5050723923. The cubic root of 106616055 is about 474.1774202745.

The spelling of 106616055 in words is "one hundred six million, six hundred sixteen thousand, fifty-five".

Divisors: 1 3 5 7 13 15 21 35 37 39 65 91 105 111 185 195 259 273 455 481 555 777 1295 1365 1443 2111 2405 3367 3885 6333 7215 10101 10555 14777 16835 27443 31665 44331 50505 73885 78107 82329 137215 192101 221655 234321 390535 411645 546749 576303 960505 1015391 1171605 1640247 2733745 2881515 3046173 5076955 7107737 8201235 15230865 21323211 35538685 106616055