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109106880 = 2635891277
BaseRepresentation
bin1101000000011…
…01011011000000
321121022012111120
412200031123000
5210412410010
614454312240
72463251601
oct640153300
9247265446
10109106880
1156651683
1230658680
13197b19ac
14106c1da8
1598a2e70
hex680d6c0

109106880 has 112 divisors (see below), whose sum is σ = 350580960. Its totient is φ = 28745728.

The previous prime is 109106801. The next prime is 109106891. The reversal of 109106880 is 88601901.

It is a super-2 number, since 2×1091068802 = 23808622526668800, which contains 22 as substring.

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, 84802 + ... + 86078.

Almost surely, 2109106880 is an apocalyptic number.

109106880 is a gapful number since it is divisible by the number (10) 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 109106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175290480).

109106880 is an abundant number, since it is smaller than the sum of its proper divisors (241474080).

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

109106880 is a wasteful number, since it uses less digits than its factorization.

109106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 109106880 is about 10445.4238784264. The cubic root of 109106880 is about 477.8416987170.

The spelling of 109106880 in words is "one hundred nine million, one hundred six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 160 178 192 240 267 320 356 445 480 534 712 890 960 1068 1277 1335 1424 1780 2136 2554 2670 2848 3560 3831 4272 5108 5340 5696 6385 7120 7662 8544 10216 10680 12770 14240 15324 17088 19155 20432 21360 25540 28480 30648 38310 40864 42720 51080 61296 76620 81728 85440 102160 113653 122592 153240 204320 227306 245184 306480 340959 408640 454612 568265 612960 681918 909224 1136530 1225920 1363836 1704795 1818448 2273060 2727672 3409590 3636896 4546120 5455344 6819180 7273792 9092240 10910688 13638360 18184480 21821376 27276720 36368960 54553440 109106880