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2105127108 = 2232712765777
BaseRepresentation
bin111110101111001…
…1011000011000100
312102201011112111200
41331132123003010
513302403031413
6544520102500
7103111166550
oct17536330304
95381145450
102105127108
11990320177
124a9004a30
13277194756
1415d822860
15c4c2b573
hex7d79b0c4

2105127108 has 72 divisors (see below), whose sum is σ = 6129457152. Its totient is φ = 596719872.

The previous prime is 2105127107. The next prime is 2105127109. The reversal of 2105127108 is 8017215012.

It is an interprime number because it is at equal distance from previous prime (2105127107) and next prime (2105127109).

It is not an unprimeable number, because it can be changed into a prime (2105127107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885 + ... + 64892.

Almost surely, 22105127108 is an apocalyptic number.

2105127108 is a gapful number since it is divisible by the number (28) 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 2105127108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064728576).

2105127108 is an abundant number, since it is smaller than the sum of its proper divisors (4024330044).

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

2105127108 is a wasteful number, since it uses less digits than its factorization.

2105127108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65921 (or 65916 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 2105127108 is about 45881.6641808032. The cubic root of 2105127108 is about 1281.6204874640.

The spelling of 2105127108 in words is "two billion, one hundred five million, one hundred twenty-seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3556 4572 5334 8001 10668 16002 32004 65777 131554 197331 263108 394662 460439 591993 789324 920878 1183986 1381317 1841756 2367972 2762634 4143951 5525268 8287902 8353679 16575804 16707358 25061037 33414716 50122074 58475753 75183111 100244148 116951506 150366222 175427259 233903012 300732444 350854518 526281777 701709036 1052563554 2105127108