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110720106 = 23272196607
BaseRepresentation
bin1101001100101…
…11010001101010
321201100011102200
412212113101222
5211321020411
614553041030
72513051100
oct646272152
9251304380
10110720106
1157553722
12310b6176
1319c28073
14109c1c70
159ac0e56
hex699746a

110720106 has 72 divisors (see below), whose sum is σ = 293791680. Its totient is φ = 29964816.

The previous prime is 110720089. The next prime is 110720111. The reversal of 110720106 is 601027011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13455 + ... + 20061.

It is an arithmetic number, because the mean of its divisors is an integer number (4080440).

Almost surely, 2110720106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110720106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146895840).

110720106 is an abundant number, since it is smaller than the sum of its proper divisors (183071574).

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

110720106 is a wasteful number, since it uses less digits than its factorization.

110720106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6648 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 110720106 is about 10522.3621872657. The cubic root of 110720106 is about 480.1852670244.

Adding to 110720106 its reverse (601027011), we get a palindrome (711747117).

The spelling of 110720106 in words is "one hundred ten million, seven hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 6607 8379 13214 16758 19821 39642 46249 59463 92498 118926 125533 138747 251066 277494 323743 376599 416241 647486 753198 832482 878731 971229 1129797 1757462 1942458 2259594 2636193 2913687 5272386 5827374 6151117 7908579 12302234 15817158 18453351 36906702 55360053 110720106