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106272661 = 1117568303
BaseRepresentation
bin1100101010110…
…01011110010101
321101222012200111
412111121132111
5204201211121
614313443021
72430205555
oct625313625
9241865614
10106272661
1154a96250
122b710471
131902b941
1410185165
1594e32e1
hex6559795

106272661 has 8 divisors (see below), whose sum is σ = 122753664. Its totient is φ = 90928320.

The previous prime is 106272659. The next prime is 106272671. The reversal of 106272661 is 166272601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106272661 - 21 = 106272659 is a prime.

It is a super-2 number, since 2×1062726612 = 22587756952041842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106272601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283965 + ... + 284338.

It is an arithmetic number, because the mean of its divisors is an integer number (15344208).

Almost surely, 2106272661 is an apocalyptic number.

106272661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106272661 is a deficient number, since it is larger than the sum of its proper divisors (16481003).

106272661 is a wasteful number, since it uses less digits than its factorization.

106272661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568331.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 106272661 is about 10308.8632253998. The cubic root of 106272661 is about 473.6677884276.

The spelling of 106272661 in words is "one hundred six million, two hundred seventy-two thousand, six hundred sixty-one".

Divisors: 1 11 17 187 568303 6251333 9661151 106272661