Search a number
-
+
106844148 = 22322967893
BaseRepresentation
bin1100101111001…
…00111111110100
321110001020121200
412113210333310
5204323003043
614334012500
72435105655
oct627447764
9243036550
10106844148
1155346654
122b947130
131919bab8
141029352c
1595a77d3
hex65e4ff4

106844148 has 18 divisors (see below), whose sum is σ = 270078354. Its totient is φ = 35614704.

The previous prime is 106844147. The next prime is 106844159. The reversal of 106844148 is 841448601.

It can be written as a sum of positive squares in only one way, i.e., 56972304 + 49871844 = 7548^2 + 7062^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1068441482 = 22831343923691808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2967893 = 106844148 / (1 + 0 + 6 + 8 + 4 + 4 + 1 + 4 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106844141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1483911 + ... + 1483982.

It is an arithmetic number, because the mean of its divisors is an integer number (15004353).

Almost surely, 2106844148 is an apocalyptic number.

106844148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106844148 is an abundant number, since it is smaller than the sum of its proper divisors (163234206).

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

106844148 is a wasteful number, since it uses less digits than its factorization.

106844148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967903 (or 2967898 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 106844148 is about 10336.5442968141. The cubic root of 106844148 is about 474.5153290828.

The spelling of 106844148 in words is "one hundred six million, eight hundred forty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2967893 5935786 8903679 11871572 17807358 26711037 35614716 53422074 106844148