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106710945 = 35111514283
BaseRepresentation
bin1100101110001…
…00011110100001
321102210110220020
412113010132201
5204304222240
614331104053
72434012425
oct627043641
9242713806
10106710945
1155265570
122b8a2029
1319153293
141025ab85
15957d0d0
hex65c47a1

106710945 has 32 divisors (see below), whose sum is σ = 187536384. Its totient is φ = 51384000.

The previous prime is 106710937. The next prime is 106710949. The reversal of 106710945 is 549017601.

It is not a de Polignac number, because 106710945 - 23 = 106710937 is a prime.

It is a super-2 number, since 2×1067109452 = 22774451565586050, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106710949) 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 31 ways as a sum of consecutive naturals, for example, 22774 + ... + 27056.

It is an arithmetic number, because the mean of its divisors is an integer number (5860512).

Almost surely, 2106710945 is an apocalyptic number.

106710945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106710945 is a deficient number, since it is larger than the sum of its proper divisors (80825439).

106710945 is a wasteful number, since it uses less digits than its factorization.

106710945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 106710945 is about 10330.0989830688. The cubic root of 106710945 is about 474.3180537320.

The spelling of 106710945 in words is "one hundred six million, seven hundred ten thousand, nine hundred forty-five".

Divisors: 1 3 5 11 15 33 55 151 165 453 755 1661 2265 4283 4983 8305 12849 21415 24915 47113 64245 141339 235565 646733 706695 1940199 3233665 7114063 9700995 21342189 35570315 106710945