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106672345 = 5137322481
BaseRepresentation
bin1100101101110…
…11000011011001
321102201111221121
412112323003121
5204302003340
614330205241
72433462043
oct626730331
9242644847
10106672345
115523956a
122b883821
131913b840
141024aa93
15957194a
hex65bb0d9

106672345 has 16 divisors (see below), whose sum is σ = 139748112. Its totient is φ = 77690880.

The previous prime is 106672343. The next prime is 106672373. The reversal of 106672345 is 543276601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26873856 + 79798489 = 5184^2 + 8933^2 .

It is not a de Polignac number, because 106672345 - 21 = 106672343 is a prime.

It is a super-2 number, since 2×1066723452 = 22757978375598050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106672345.

It is not an unprimeable number, because it can be changed into a prime (106672343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6496 + ... + 15985.

It is an arithmetic number, because the mean of its divisors is an integer number (8734257).

Almost surely, 2106672345 is an apocalyptic number.

It is an amenable number.

106672345 is a deficient number, since it is larger than the sum of its proper divisors (33075767).

106672345 is a wasteful number, since it uses less digits than its factorization.

106672345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22572.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 106672345 is about 10328.2304873584. The cubic root of 106672345 is about 474.2608559601.

The spelling of 106672345 in words is "one hundred six million, six hundred seventy-two thousand, three hundred forty-five".

Divisors: 1 5 13 65 73 365 949 4745 22481 112405 292253 1461265 1641113 8205565 21334469 106672345