Search a number
-
+
107134600 = 2352535673
BaseRepresentation
bin1100110001010…
…11111010001000
321110121000001011
412120223322020
5204411301400
614344133304
72440425526
oct630537210
9243530034
10107134600
11555248a1
122ba67234
1319271071
141032b316
1596138ba
hex662be88

107134600 has 24 divisors (see below), whose sum is σ = 249088410. Its totient is φ = 42853760.

The previous prime is 107134591. The next prime is 107134609. The reversal of 107134600 is 6431701.

It is an interprime number because it is at equal distance from previous prime (107134591) and next prime (107134609).

It can be written as a sum of positive squares in 3 ways, for example, as 39664804 + 67469796 = 6298^2 + 8214^2 .

It is a super-2 number, since 2×1071346002 = 22955645034320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107134609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267637 + ... + 268036.

Almost surely, 2107134600 is an apocalyptic number.

107134600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107134600 is an abundant number, since it is smaller than the sum of its proper divisors (141953810).

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

107134600 is a wasteful number, since it uses less digits than its factorization.

107134600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535689 (or 535680 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 107134600 is about 10350.5845245571. The cubic root of 107134600 is about 474.9449243622.

The spelling of 107134600 in words is "one hundred seven million, one hundred thirty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 535673 1071346 2142692 2678365 4285384 5356730 10713460 13391825 21426920 26783650 53567300 107134600