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106566421 = 13171941619
BaseRepresentation
bin1100101101000…
…01001100010101
321102112010122111
412112201030111
5204240111141
614324031021
72432541163
oct626411425
9242463574
10106566421
1155176a25
122b832471
1319102570
1410220233
159550381
hex65a1315

106566421 has 32 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 85432320.

The previous prime is 106566379. The next prime is 106566433. The reversal of 106566421 is 124665601.

It is a cyclic number.

It is not a de Polignac number, because 106566421 - 213 = 106558229 is a prime.

It is a super-3 number, since 3×1065664213 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106566461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171850 + ... + 172468.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2106566421 is an apocalyptic number.

It is an amenable number.

106566421 is a deficient number, since it is larger than the sum of its proper divisors (24675179).

106566421 is a wasteful number, since it uses less digits than its factorization.

106566421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 106566421 is about 10323.1013266363. The cubic root of 106566421 is about 474.1038260576.

The spelling of 106566421 in words is "one hundred six million, five hundred sixty-six thousand, four hundred twenty-one".

Divisors: 1 13 17 19 41 221 247 323 533 619 697 779 4199 8047 9061 10127 10523 11761 13243 25379 136799 152893 172159 199937 329927 431443 482201 2599181 5608759 6268613 8197417 106566421