Search a number
-
+
108105116928 = 2831217115663
BaseRepresentation
bin110010010101110010…
…0010010110100000000
3101100001000211221110120
41210223210102310000
53232344402220203
6121355055500240
710544642222004
oct1445344226400
9340030757416
10108105116928
114193557a446
1218b50227680
13a26aa68413
14533768c704
152c2aa9ab53
hex192b912d00

108105116928 has 72 divisors (see below), whose sum is σ = 287956169088. Its totient is φ = 36005117952.

The previous prime is 108105116923. The next prime is 108105116939. The reversal of 108105116928 is 829611501801.

It is a self number, because there is not a number n which added to its sum of digits gives 108105116928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108105116921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 876825 + ... + 992487.

Almost surely, 2108105116928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108105116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143978084544).

108105116928 is an abundant number, since it is smaller than the sum of its proper divisors (179851052160).

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

108105116928 is a wasteful number, since it uses less digits than its factorization.

108105116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116899 (or 116885 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 42.

The spelling of 108105116928 in words is "one hundred eight billion, one hundred five million, one hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1217 2434 3651 4868 7302 9736 14604 19472 29208 38944 58416 77888 115663 116832 155776 231326 233664 311552 346989 462652 467328 693978 925304 934656 1387956 1850608 2775912 3701216 5551824 7402432 11103648 14804864 22207296 29609728 44414592 88829184 140761871 281523742 422285613 563047484 844571226 1126094968 1689142452 2252189936 3378284904 4504379872 6756569808 9008759744 13513139616 18017519488 27026279232 36035038976 54052558464 108105116928