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106217793 = 321138867
BaseRepresentation
bin1100101010011…
…00000101000001
321101212102102100
412111030011001
5204142432133
614312341013
72426556603
oct625140501
9241772370
10106217793
1154a59000
122b6a4769
131900c986
141016d173
1594d1e13
hex654c141

106217793 has 24 divisors (see below), whose sum is σ = 168775776. Its totient is φ = 64367160.

The previous prime is 106217789. The next prime is 106217803. The reversal of 106217793 is 397712601.

It is a happy number.

It is not a de Polignac number, because 106217793 - 22 = 106217789 is a prime.

It is a super-2 number, since 2×1062177932 = 22564439099581698, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106217753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7546 + ... + 16412.

It is an arithmetic number, because the mean of its divisors is an integer number (7032324).

Almost surely, 2106217793 is an apocalyptic number.

It is an amenable number.

106217793 is a deficient number, since it is larger than the sum of its proper divisors (62557983).

106217793 is an equidigital number, since it uses as much as digits as its factorization.

106217793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8906 (or 8881 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 106217793 is about 10306.2016766605. The cubic root of 106217793 is about 473.5862570223.

The spelling of 106217793 in words is "one hundred six million, two hundred seventeen thousand, seven hundred ninety-three".

Divisors: 1 3 9 11 33 99 121 363 1089 1331 3993 8867 11979 26601 79803 97537 292611 877833 1072907 3218721 9656163 11801977 35405931 106217793