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106416191 = 722171759
BaseRepresentation
bin1100101011111…
…00100000111111
321102020111120102
412111330200333
5204220304231
614320511315
72431344200
oct625744077
9242214512
10106416191
1155084072
122b77b53b
131907c07b
14101c15a7
159520acb
hex657c83f

106416191 has 6 divisors (see below), whose sum is σ = 123790320. Its totient is φ = 91213836.

The previous prime is 106416179. The next prime is 106416227. The reversal of 106416191 is 191614601.

It is not a de Polignac number, because 106416191 - 218 = 106154047 is a prime.

It is a super-2 number, since 2×1064161912 = 22648811413896962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106416151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1085831 + ... + 1085928.

It is an arithmetic number, because the mean of its divisors is an integer number (20631720).

Almost surely, 2106416191 is an apocalyptic number.

106416191 is a deficient number, since it is larger than the sum of its proper divisors (17374129).

106416191 is an equidigital number, since it uses as much as digits as its factorization.

106416191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171773 (or 2171766 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 106416191 is about 10315.8223617897. The cubic root of 106416191 is about 473.8809349801.

The spelling of 106416191 in words is "one hundred six million, four hundred sixteen thousand, one hundred ninety-one".

Divisors: 1 7 49 2171759 15202313 106416191