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106346877 = 3713794931
BaseRepresentation
bin1100101011010…
…11100101111101
321102002222111020
412111223211331
5204211100002
614315214353
72430635130
oct625534575
9242088436
10106346877
1155036a8a
122b7473b9
1319056660
14101a4217
15950a2bc
hex656b97d

106346877 has 32 divisors (see below), whose sum is σ = 176762880. Its totient is φ = 55373760.

The previous prime is 106346873. The next prime is 106346881. The reversal of 106346877 is 778643601.

It is an interprime number because it is at equal distance from previous prime (106346873) and next prime (106346881).

It is not a de Polignac number, because 106346877 - 22 = 106346873 is a prime.

It is a super-2 number, since 2×1063468772 = 22619316495306258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106346873) 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 31 ways as a sum of consecutive naturals, for example, 19102 + ... + 24032.

It is an arithmetic number, because the mean of its divisors is an integer number (5523840).

Almost surely, 2106346877 is an apocalyptic number.

It is an amenable number.

106346877 is a deficient number, since it is larger than the sum of its proper divisors (70416003).

106346877 is a wasteful number, since it uses less digits than its factorization.

106346877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033.

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 106346877 is about 10312.4622181126. The cubic root of 106346877 is about 473.7780254606.

The spelling of 106346877 in words is "one hundred six million, three hundred forty-six thousand, eight hundred seventy-seven".

Divisors: 1 3 7 13 21 39 79 91 237 273 553 1027 1659 3081 4931 7189 14793 21567 34517 64103 103551 192309 389549 448721 1168647 1346163 2726843 5064137 8180529 15192411 35448959 106346877