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106221557 = 1361133949
BaseRepresentation
bin1100101010011…
…00111111110101
321101212121120202
412111030333311
5204143042212
614312410245
72426603561
oct625147765
9241777522
10106221557
1154a60912
122b6a6985
13190115c0
14101706a1
1594d30c2
hex654cff5

106221557 has 8 divisors (see below), whose sum is σ = 116268600. Its totient is φ = 96442560.

The previous prime is 106221553. The next prime is 106221569. The reversal of 106221557 is 755122601.

It can be written as a sum of positive squares in 4 ways, for example, as 7921 + 106213636 = 89^2 + 10306^2 .

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 106221557 - 22 = 106221553 is a prime.

It is a super-2 number, since 2×1062215572 = 22566038343008498, 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 (106221553) 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 7 ways as a sum of consecutive naturals, for example, 66182 + ... + 67767.

It is an arithmetic number, because the mean of its divisors is an integer number (14533575).

Almost surely, 2106221557 is an apocalyptic number.

It is an amenable number.

106221557 is a deficient number, since it is larger than the sum of its proper divisors (10047043).

106221557 is a wasteful number, since it uses less digits than its factorization.

106221557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134023.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 106221557 is about 10306.3842835400. The cubic root of 106221557 is about 473.5918510556.

The spelling of 106221557 in words is "one hundred six million, two hundred twenty-one thousand, five hundred fifty-seven".

Divisors: 1 13 61 793 133949 1741337 8170889 106221557