Search a number
-
+
106000000105 = 583269949523
BaseRepresentation
bin110001010111000010…
…1111010010001101001
3101010121022200221001211
41202232011322101221
53214042000000410
6120410135513121
710441531064116
oct1425605722151
9333538627054
10106000000105
1140a55266a7a
12186632287a1
139cc38a856c
1451b7c6d90d
152b55d7268a
hex18ae17a469

106000000105 has 16 divisors (see below), whose sum is σ = 129211225920. Its totient is φ = 83466781888.

The previous prime is 106000000081. The next prime is 106000000109. The reversal of 106000000105 is 501000000601.

It is a cyclic number.

It is not a de Polignac number, because 106000000105 - 219 = 105999475817 is a prime.

It is a super-2 number, since 2×1060000001052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106000000109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363127 + ... + 586396.

It is an arithmetic number, because the mean of its divisors is an integer number (8075701620).

Almost surely, 2106000000105 is an apocalyptic number.

It is an amenable number.

106000000105 is a deficient number, since it is larger than the sum of its proper divisors (23211225815).

106000000105 is an equidigital number, since it uses as much as digits as its factorization.

106000000105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949880.

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 106000000105 its reverse (501000000601), we get a palindrome (607000000706).

The spelling of 106000000105 in words is "one hundred six billion, one hundred five", and thus it is an aban number.

Divisors: 1 5 83 269 415 1345 22327 111635 949523 4747615 78810409 255421687 394052045 1277108435 21200000021 106000000105