Search a number
-
+
106000015005 = 3252355555889
BaseRepresentation
bin110001010111000010…
…1111101111010011101
3101010121022201200111200
41202232011331322131
53214042000440010
6120410140110113
710441531155423
oct1425605757235
9333538650450
10106000015005
1140a55277195
1218663235339
139cc38b2291
1451b7c75113
152b55d76cc0
hex18ae17de9d

106000015005 has 12 divisors (see below), whose sum is σ = 183733359420. Its totient is φ = 56533341312.

The previous prime is 106000015003. The next prime is 106000015007. The reversal of 106000015005 is 500510000601.

106000015005 is a `hidden beast` number, since 10 + 600 + 0 + 0 + 1 + 50 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106000015003) and next prime (106000015007).

It can be written as a sum of positive squares in 2 ways, for example, as 71855627481 + 34144387524 = 268059^2 + 184782^2 .

It is not a de Polignac number, because 106000015005 - 21 = 106000015003 is a prime.

It is a super-2 number, since 2×1060000150052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000015003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1177777900 + ... + 1177777989.

It is an arithmetic number, because the mean of its divisors is an integer number (15311113285).

Almost surely, 2106000015005 is an apocalyptic number.

106000015005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106000015005 is a deficient number, since it is larger than the sum of its proper divisors (77733344415).

106000015005 is a wasteful number, since it uses less digits than its factorization.

106000015005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355555900 (or 2355555897 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 106000015005 its reverse (500510000601), we get a palindrome (606510015606).

The spelling of 106000015005 in words is "one hundred six billion, fifteen thousand, five".

Divisors: 1 3 5 9 15 45 2355555889 7066667667 11777779445 21200003001 35333338335 106000015005