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105977221 = 7163293317
BaseRepresentation
bin1100101000100…
…01010110000101
321101102012102021
412110101112011
5204112232341
614303243141
72424535330
oct624212605
9241365367
10105977221
1154904289
122b5a94b1
1318c5731c
1410109617
1594859d1
hex6511585

105977221 has 16 divisors (see below), whose sum is σ = 122661504. Its totient is φ = 89688384.

The previous prime is 105977219. The next prime is 105977237. The reversal of 105977221 is 122779501.

It is a cyclic number.

It is not a de Polignac number, because 105977221 - 21 = 105977219 is a prime.

It is a super-2 number, since 2×1059772212 = 22462342741765682, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105974221) 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, 334155 + ... + 334471.

It is an arithmetic number, because the mean of its divisors is an integer number (7666344).

Almost surely, 2105977221 is an apocalyptic number.

It is an amenable number.

105977221 is a deficient number, since it is larger than the sum of its proper divisors (16684283).

105977221 is a wasteful number, since it uses less digits than its factorization.

105977221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780.

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 105977221 is about 10294.5238355157. The cubic root of 105977221 is about 473.2284459234.

The spelling of 105977221 in words is "one hundred five million, nine hundred seventy-seven thousand, two hundred twenty-one".

Divisors: 1 7 163 293 317 1141 2051 2219 47759 51671 92881 334313 361697 650167 15139603 105977221