Search a number
-
+
106003745 = 527776537
BaseRepresentation
bin1100101000101…
…11110100100001
321101110112210122
412110113310201
5204114104440
614304010025
72425005551
oct624276441
9241415718
10106003745
1154922201
122b600915
1318c66413
1410115161
15948d7b5
hex6517d21

106003745 has 8 divisors (see below), whose sum is σ = 127665384. Its totient is φ = 84495744.

The previous prime is 106003741. The next prime is 106003783. The reversal of 106003745 is 547300601.

It can be written as a sum of positive squares in 4 ways, for example, as 21492496 + 84511249 = 4636^2 + 9193^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106003745 - 22 = 106003741 is a prime.

It is a super-2 number, since 2×1060037452 = 22473587908050050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106003741) 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 7 ways as a sum of consecutive naturals, for example, 36884 + ... + 39653.

It is an arithmetic number, because the mean of its divisors is an integer number (15958173).

Almost surely, 2106003745 is an apocalyptic number.

It is an amenable number.

106003745 is a deficient number, since it is larger than the sum of its proper divisors (21661639).

106003745 is an equidigital number, since it uses as much as digits as its factorization.

106003745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76819.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 106003745 is about 10295.8120126584. The cubic root of 106003745 is about 473.2679225334.

The spelling of 106003745 in words is "one hundred six million, three thousand, seven hundred forty-five".

Divisors: 1 5 277 1385 76537 382685 21200749 106003745