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106665597 = 3213786509
BaseRepresentation
bin1100101101110…
…01011001111101
321102201011200200
412112321121331
5204301244342
614330114113
72433433263
oct626713175
9242634620
10106665597
1155234495
122b87b939
131913874c
1410248433
15956e94c
hex65b967d

106665597 has 12 divisors (see below), whose sum is σ = 155198940. Its totient is φ = 70590528.

The previous prime is 106665593. The next prime is 106665617. The reversal of 106665597 is 795566601.

It can be written as a sum of positive squares in 2 ways, for example, as 42889401 + 63776196 = 6549^2 + 7986^2 .

It is not a de Polignac number, because 106665597 - 22 = 106665593 is a prime.

It is a super-2 number, since 2×1066655972 = 22755099166732818, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106665593) 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 11 ways as a sum of consecutive naturals, for example, 42022 + ... + 44487.

It is an arithmetic number, because the mean of its divisors is an integer number (12933245).

Almost surely, 2106665597 is an apocalyptic number.

It is an amenable number.

106665597 is a deficient number, since it is larger than the sum of its proper divisors (48533343).

106665597 is a wasteful number, since it uses less digits than its factorization.

106665597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86652 (or 86649 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 106665597 is about 10327.9038047418. The cubic root of 106665597 is about 474.2508553058.

The spelling of 106665597 in words is "one hundred six million, six hundred sixty-five thousand, five hundred ninety-seven".

Divisors: 1 3 9 137 411 1233 86509 259527 778581 11851733 35555199 106665597