Search a number
-
+
106525060 = 225171272467
BaseRepresentation
bin1100101100101…
…11000110000100
321102110000220121
412112113012010
5204232300220
614323111324
72432306455
oct626270604
9242400817
10106525060
1155148944
122b812544
13190b97a5
141020d12c
159542eaa
hex6597184

106525060 has 48 divisors (see below), whose sum is σ = 238823424. Its totient is φ = 39771648.

The previous prime is 106525051. The next prime is 106525073. The reversal of 106525060 is 60525601.

It is a super-2 number, since 2×1065250602 = 22695176816007200, which contains 22 as substring.

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, 41947 + ... + 44413.

It is an arithmetic number, because the mean of its divisors is an integer number (4975488).

Almost surely, 2106525060 is an apocalyptic number.

106525060 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 106525060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119411712).

106525060 is an abundant number, since it is smaller than the sum of its proper divisors (132298364).

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

106525060 is a wasteful number, since it uses less digits than its factorization.

106525060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 106525060 is about 10321.0978098262. The cubic root of 106525060 is about 474.0424810746.

The spelling of 106525060 in words is "one hundred six million, five hundred twenty-five thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 170 254 340 508 635 1270 2159 2467 2540 4318 4934 8636 9868 10795 12335 21590 24670 41939 43180 49340 83878 167756 209695 313309 419390 626618 838780 1253236 1566545 3133090 5326253 6266180 10652506 21305012 26631265 53262530 106525060