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106344645 = 3511644513
BaseRepresentation
bin1100101011010…
…11000011000101
321102002212102120
412111223003011
5204211012040
614315200153
72430625461
oct625530305
9242085376
10106344645
1155035340
122b746059
1319055634
14101a34a1
1595097d0
hex656b0c5

106344645 has 16 divisors (see below), whose sum is σ = 185620032. Its totient is φ = 51560960.

The previous prime is 106344631. The next prime is 106344647. The reversal of 106344645 is 546443601.

It is not a de Polignac number, because 106344645 - 25 = 106344613 is a prime.

It is a super-2 number, since 2×1063446452 = 22618367040352050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106344647) 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 15 ways as a sum of consecutive naturals, for example, 322092 + ... + 322421.

It is an arithmetic number, because the mean of its divisors is an integer number (11601252).

Almost surely, 2106344645 is an apocalyptic number.

106344645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106344645 is a deficient number, since it is larger than the sum of its proper divisors (79275387).

106344645 is a wasteful number, since it uses less digits than its factorization.

106344645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644532.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 106344645 is about 10312.3539989665. The cubic root of 106344645 is about 473.7747108986.

The spelling of 106344645 in words is "one hundred six million, three hundred forty-four thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 644513 1933539 3222565 7089643 9667695 21268929 35448215 106344645