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106564332 = 22371268623
BaseRepresentation
bin1100101101000…
…00101011101100
321102112000210010
412112200223230
5204240024312
614324013220
72432532120
oct626405354
9242460703
10106564332
11551753a6
122b831210
1319101624
141021d580
15954e93c
hex65a0aec

106564332 has 24 divisors (see below), whose sum is σ = 284171776. Its totient is φ = 30446928.

The previous prime is 106564261. The next prime is 106564333. The reversal of 106564332 is 233465601.

It is a super-2 number, since 2×1065643322 = 22711913709212448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106564332.

It is not an unprimeable number, because it can be changed into a prime (106564333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634228 + ... + 634395.

Almost surely, 2106564332 is an apocalyptic number.

106564332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106564332 is an abundant number, since it is smaller than the sum of its proper divisors (177607444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106564332 is a wasteful number, since it uses less digits than its factorization.

106564332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268637 (or 1268635 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 106564332 is about 10323.0001453066. Note that the first 3 decimals coincide. The cubic root of 106564332 is about 474.1007281169.

The spelling of 106564332 in words is "one hundred six million, five hundred sixty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1268623 2537246 3805869 5074492 7611738 8880361 15223476 17760722 26641083 35521444 53282166 106564332