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106963371 = 32171634289
BaseRepresentation
bin1100110000000…
…10000110101011
321110021022011100
412120002012223
5204340311441
614340332443
72436113364
oct630020653
9243238140
10106963371
1155418189
122b9a4123
1319211148
14102c4b6b
1595cccb6
hex66021ab

106963371 has 24 divisors (see below), whose sum is σ = 164633040. Its totient is φ = 66686976.

The previous prime is 106963357. The next prime is 106963379. The reversal of 106963371 is 173369601.

106963371 is a `hidden beast` number, since 10 + 6 + 9 + 633 + 7 + 1 = 666.

It is not a de Polignac number, because 106963371 - 29 = 106962859 is a prime.

It is a super-2 number, since 2×1069633712 = 22882325471367282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106963379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22795 + ... + 27083.

It is an arithmetic number, because the mean of its divisors is an integer number (6859710).

Almost surely, 2106963371 is an apocalyptic number.

106963371 is a deficient number, since it is larger than the sum of its proper divisors (57669669).

106963371 is a wasteful number, since it uses less digits than its factorization.

106963371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 106963371 is about 10342.3097516947. The cubic root of 106963371 is about 474.6917608688.

The spelling of 106963371 in words is "one hundred six million, nine hundred sixty-three thousand, three hundred seventy-one".

Divisors: 1 3 9 17 51 153 163 489 1467 2771 4289 8313 12867 24939 38601 72913 218739 656217 699107 2097321 6291963 11884819 35654457 106963371