Search a number
-
+
106005355665 = 3511642456701
BaseRepresentation
bin110001010111001101…
…0010101110010010001
3101010121200210000111220
41202232122111302101
53214044332340130
6120410450355253
710441624441026
oct1425632256221
9333550700456
10106005355665
1140a58294760
1218664b8bb29
139cc4a32131
1451b886554d
152b5657e410
hex18ae695c91

106005355665 has 16 divisors (see below), whose sum is σ = 185027530176. Its totient is φ = 51396536000.

The previous prime is 106005355663. The next prime is 106005355717. The reversal of 106005355665 is 566553500601.

It is not a de Polignac number, because 106005355665 - 21 = 106005355663 is a prime.

It is a super-2 number, since 2×1060053556652 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005355663) 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, 321228186 + ... + 321228515.

It is an arithmetic number, because the mean of its divisors is an integer number (11564220636).

Almost surely, 2106005355665 is an apocalyptic number.

106005355665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106005355665 is a deficient number, since it is larger than the sum of its proper divisors (79022174511).

106005355665 is a wasteful number, since it uses less digits than its factorization.

106005355665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642456720.

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 106005355665 in words is "one hundred six billion, five million, three hundred fifty-five thousand, six hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 165 642456701 1927370103 3212283505 7067023711 9636850515 21201071133 35335118555 106005355665