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106443645 = 35711157587
BaseRepresentation
bin1100101100000…
…11001101111101
321102021220020020
412112003031331
5204222144040
614321242353
72431520220
oct626031575
9242256206
10106443645
11550a2760
122b7933b9
131908b709
14101cb5b7
159528cd0
hex658337d

106443645 has 64 divisors (see below), whose sum is σ = 214050816. Its totient is φ = 43879680.

The previous prime is 106443593. The next prime is 106443661. The reversal of 106443645 is 546344601.

It is not a de Polignac number, because 106443645 - 26 = 106443581 is a prime.

It is a super-2 number, since 2×1064436452 = 22660499121772050, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181042 + ... + 181628.

It is an arithmetic number, because the mean of its divisors is an integer number (3344544).

Almost surely, 2106443645 is an apocalyptic number.

106443645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106443645 is an abundant number, since it is smaller than the sum of its proper divisors (107607171).

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

106443645 is a wasteful number, since it uses less digits than its factorization.

106443645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770.

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

The square root of 106443645 is about 10317.1529503056. The cubic root of 106443645 is about 473.9216831921.

The spelling of 106443645 in words is "one hundred six million, four hundred forty-three thousand, six hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 157 165 231 385 471 587 785 1099 1155 1727 1761 2355 2935 3297 4109 5181 5495 6457 8635 8805 12089 12327 16485 19371 20545 25905 32285 36267 45199 60445 61635 92159 96855 135597 181335 225995 276477 460795 645113 677985 1013749 1382385 1935339 3041247 3225565 5068745 7096243 9676695 15206235 21288729 35481215 106443645