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106745716 = 2273112643
BaseRepresentation
bin1100101110011…
…00111101110100
321102212020121001
412113030331310
5204311330331
614331533044
72434216000
oct627147564
9242766531
10106745716
1155289700
122b8ba184
131916605c
1410269700
159588561
hex65ccf74

106745716 has 72 divisors (see below), whose sum is σ = 239825600. Its totient is φ = 41524560.

The previous prime is 106745711. The next prime is 106745747. The reversal of 106745716 is 617547601.

106745716 = T224 + T225 + ... + T866.

It is a super-2 number, since 2×1067457162 = 22789295768705312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106745711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165691 + ... + 166333.

Almost surely, 2106745716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106745716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119912800).

106745716 is an abundant number, since it is smaller than the sum of its proper divisors (133079884).

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

106745716 is a wasteful number, since it uses less digits than its factorization.

106745716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 106745716 is about 10331.7818405152. The cubic root of 106745716 is about 474.3695658553.

The spelling of 106745716 in words is "one hundred six million, seven hundred forty-five thousand, seven hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 343 484 539 643 686 847 1078 1286 1372 1694 2156 2572 3388 3773 4501 5929 7073 7546 9002 11858 14146 15092 18004 23716 28292 31507 41503 49511 63014 77803 83006 99022 126028 155606 166012 198044 220549 311212 346577 441098 544621 693154 882196 1089242 1386308 2178484 2426039 3812347 4852078 7624694 9704156 15249388 26686429 53372858 106745716