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106322601 = 37211471399
BaseRepresentation
bin1100101011001…
…01101010101001
321102001202012010
412111211222221
5204204310401
614314510133
72430504300
oct625455251
9242052163
10106322601
115501a820
122b735349
13190485a8
1410199437
159502ed6
hex6565aa9

106322601 has 48 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 54018720.

The previous prime is 106322597. The next prime is 106322603. The reversal of 106322601 is 106223601.

It is a happy number.

It is not a de Polignac number, because 106322601 - 22 = 106322597 is a prime.

It is a super-2 number, since 2×1063226012 = 22608990966810402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (106322603) 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, 75300 + ... + 76698.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2106322601 is an apocalyptic number.

106322601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106322601 is a deficient number, since it is larger than the sum of its proper divisors (77536599).

106322601 is a wasteful number, since it uses less digits than its factorization.

106322601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106322601 is about 10311.2851284406. The cubic root of 106322601 is about 473.7419726526.

The spelling of 106322601 in words is "one hundred six million, three hundred twenty-two thousand, six hundred one".

Divisors: 1 3 7 11 21 33 47 49 77 141 147 231 329 517 539 987 1399 1551 1617 2303 3619 4197 6909 9793 10857 15389 25333 29379 46167 65753 68551 75999 107723 197259 205653 323169 460271 723283 754061 1380813 2169849 2262183 3221897 5062981 9665691 15188943 35440867 106322601