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106047417 = 3721943883
BaseRepresentation
bin1100101001000…
…10011110111001
321101112202201010
412110202132321
5204122004132
614304544133
72425250100
oct624423671
9241482633
10106047417
1154951aa3
122b622049
1318c80268
1410127037
15949b6cc
hex65227b9

106047417 has 48 divisors (see below), whose sum is σ = 177365760. Its totient is φ = 56010528.

The previous prime is 106047401. The next prime is 106047419. The reversal of 106047417 is 714740601.

It is not a de Polignac number, because 106047417 - 24 = 106047401 is a prime.

It is a super-2 number, since 2×1060474172 = 22492109304743778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106047419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119658 + ... + 120540.

It is an arithmetic number, because the mean of its divisors is an integer number (3695120).

Almost surely, 2106047417 is an apocalyptic number.

It is an amenable number.

106047417 is a deficient number, since it is larger than the sum of its proper divisors (71318343).

106047417 is a wasteful number, since it uses less digits than its factorization.

106047417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 106047417 is about 10297.9326566064. The cubic root of 106047417 is about 473.3329067752.

The spelling of 106047417 in words is "one hundred six million, forty-seven thousand, four hundred seventeen".

Divisors: 1 3 7 19 21 43 49 57 129 133 147 301 399 817 883 903 931 2107 2451 2649 2793 5719 6181 6321 16777 17157 18543 37969 40033 43267 50331 113907 117439 120099 129801 265783 352317 721411 797349 822073 1860481 2164233 2466219 5049877 5581443 15149631 35349139 106047417