Search a number
-
+
106255500 = 22353135449
BaseRepresentation
bin1100101010101…
…01010010001100
321101221100010220
412111111102030
5204200134000
614313231340
72430104541
oct625252214
9241840126
10106255500
1154a8436a
122b702550
1319023ba0
141017cbc8
1594dd1a0
hex655548c

106255500 has 96 divisors (see below), whose sum is σ = 333278400. Its totient is φ = 26150400.

The previous prime is 106255481. The next prime is 106255511. The reversal of 106255500 is 5552601.

It is a super-2 number, since 2×1062555002 = 22580462560500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16776 + ... + 22224.

It is an arithmetic number, because the mean of its divisors is an integer number (3471650).

Almost surely, 2106255500 is an apocalyptic number.

106255500 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 106255500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166639200).

106255500 is an abundant number, since it is smaller than the sum of its proper divisors (227022900).

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

106255500 is a wasteful number, since it uses less digits than its factorization.

106255500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 106255500 is about 10308.0308497792. The cubic root of 106255500 is about 473.6422909622.

The spelling of 106255500 in words is "one hundred six million, two hundred fifty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 250 260 300 325 375 390 500 650 750 780 975 1300 1500 1625 1950 3250 3900 4875 5449 6500 9750 10898 16347 19500 21796 27245 32694 54490 65388 70837 81735 108980 136225 141674 163470 212511 272450 283348 326940 354185 408675 425022 544900 681125 708370 817350 850044 1062555 1362250 1416740 1634700 1770925 2043375 2125110 2724500 3541850 4086750 4250220 5312775 7083700 8173500 8854625 10625550 17709250 21251100 26563875 35418500 53127750 106255500