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106444503 = 33111991801
BaseRepresentation
bin1100101100000…
…11011011010111
321102021221102000
412112003123113
5204222211003
614321250343
72431522554
oct626033327
9242257360
10106444503
11550a3370
122b7939b3
131908bc19
14101cba2b
1595291a3
hex65836d7

106444503 has 32 divisors (see below), whose sum is σ = 172992000. Its totient is φ = 64152000.

The previous prime is 106444489. The next prime is 106444543. The reversal of 106444503 is 305444601.

106444503 is a `hidden beast` number, since 10 + 644 + 4 + 5 + 0 + 3 = 666.

It is not a de Polignac number, because 106444503 - 210 = 106443479 is a prime.

It is a super-2 number, since 2×1064445032 = 22660864437834018, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106444543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58203 + ... + 60003.

It is an arithmetic number, because the mean of its divisors is an integer number (5406000).

Almost surely, 2106444503 is an apocalyptic number.

106444503 is a deficient number, since it is larger than the sum of its proper divisors (66547497).

106444503 is a wasteful number, since it uses less digits than its factorization.

106444503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 106444503 is about 10317.1945314606. The cubic root of 106444503 is about 473.9229565536.

The spelling of 106444503 in words is "one hundred six million, four hundred forty-four thousand, five hundred three".

Divisors: 1 3 9 11 27 33 99 199 297 597 1791 1801 2189 5373 5403 6567 16209 19701 19811 48627 59103 59433 178299 358399 534897 1075197 3225591 3942389 9676773 11827167 35481501 106444503