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108125000 = 2357173
BaseRepresentation
bin1100111000111…
…01101101001000
321112110022121122
412130131231020
5210140000000
614421254412
72452022144
oct634355510
9245408548
10108125000
1156040a05
1230264408
1319529ab9
1410508224
15975c085
hex671db48

108125000 has 64 divisors (see below), whose sum is σ = 254882160. Its totient is φ = 43000000.

The previous prime is 108124999. The next prime is 108125023. The reversal of 108125000 is 521801.

It can be written as a sum of positive squares in 8 ways, for example, as 80604484 + 27520516 = 8978^2 + 5246^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 108125000.

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, 624914 + ... + 625086.

Almost surely, 2108125000 is an apocalyptic number.

108125000 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 108125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127441080).

108125000 is an abundant number, since it is smaller than the sum of its proper divisors (146757160).

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

108125000 is an frugal number, since it uses more digits than its factorization.

108125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 108125000 is about 10398.3171715427. The cubic root of 108125000 is about 476.4039717273.

Adding to 108125000 its reverse (521801), we get a palindrome (108646801).

The spelling of 108125000 in words is "one hundred eight million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 200 250 346 500 625 692 865 1000 1250 1384 1730 2500 3125 3460 4325 5000 6250 6920 8650 12500 15625 17300 21625 25000 31250 34600 43250 62500 78125 86500 108125 125000 156250 173000 216250 312500 432500 540625 625000 865000 1081250 2162500 2703125 4325000 5406250 10812500 13515625 21625000 27031250 54062500 108125000