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109340100 = 223252313919
BaseRepresentation
bin1101000010001…
…10010111000100
321121202001102100
412201012113010
5210442340400
614503312100
72465242542
oct641062704
9247661370
10109340100
11567a0921
123074b630
1319863bac
1410742d92
1598ec100
hex68465c4

109340100 has 108 divisors (see below), whose sum is σ = 353866240. Its totient is φ = 28209600.

The previous prime is 109340093. The next prime is 109340123. The reversal of 109340100 is 1043901.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25941 + ... + 29859.

Almost surely, 2109340100 is an apocalyptic number.

109340100 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 109340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176933120).

109340100 is an abundant number, since it is smaller than the sum of its proper divisors (244526140).

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

109340100 is a wasteful number, since it uses less digits than its factorization.

109340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 109340100 is about 10456.5816594143. The cubic root of 109340100 is about 478.1819245309.

The spelling of 109340100 in words is "one hundred nine million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 3100 3919 4650 5580 6975 7838 9300 11757 13950 15676 19595 23514 27900 35271 39190 47028 58785 70542 78380 97975 117570 121489 141084 176355 195950 235140 242978 293925 352710 364467 391900 485956 587850 607445 705420 728934 881775 1093401 1175700 1214890 1457868 1763550 1822335 2186802 2429780 3037225 3527100 3644670 4373604 5467005 6074450 7289340 9111675 10934010 12148900 18223350 21868020 27335025 36446700 54670050 109340100