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110109104 = 2471959877
BaseRepresentation
bin1101001000000…
…10000110110000
321200012010021222
412210002012300
5211141442404
614532004212
72504624540
oct644020660
9250163258
10110109104
1157176666
1230a60668
1319a72c21
14108a3320
1599eedbe
hex69021b0

110109104 has 80 divisors (see below), whose sum is σ = 261292800. Its totient is φ = 43898112.

The previous prime is 110109091. The next prime is 110109113. The reversal of 110109104 is 401901011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125114 + ... + 125990.

It is an arithmetic number, because the mean of its divisors is an integer number (3266160).

Almost surely, 2110109104 is an apocalyptic number.

110109104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110109104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130646400).

110109104 is an abundant number, since it is smaller than the sum of its proper divisors (151183696).

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

110109104 is a wasteful number, since it uses less digits than its factorization.

110109104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 110109104 is about 10493.2885217171. The cubic root of 110109104 is about 479.3003464130.

The spelling of 110109104 in words is "one hundred ten million, one hundred nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 59 76 112 118 133 152 236 266 304 413 472 532 826 877 944 1064 1121 1652 1754 2128 2242 3304 3508 4484 6139 6608 7016 7847 8968 12278 14032 15694 16663 17936 24556 31388 33326 49112 51743 62776 66652 98224 103486 116641 125552 133304 206972 233282 266608 362201 413944 466564 724402 827888 933128 983117 1448804 1866256 1966234 2897608 3932468 5795216 6881819 7864936 13763638 15729872 27527276 55054552 110109104