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105505511101 = 216148822541
BaseRepresentation
bin110001001000010011…
…1100101011010111101
3101002022212020021200021
41202100213211122331
53212033402323401
6120245113132141
710423345022164
oct1422047453275
9332285207607
10105505511101
1140821124081
12185456ba051
139c45302a13
14516c3103db
152b277472a1
hex18909e56bd

105505511101 has 4 divisors (see below), whose sum is σ = 105554335804. Its totient is φ = 105456686400.

The previous prime is 105505511087. The next prime is 105505511131. The reversal of 105505511101 is 101115505501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 101115505501 = 293486741569.

It can be written as a sum of positive squares in 2 ways, for example, as 40034007225 + 65471503876 = 200085^2 + 255874^2 .

It is a cyclic number.

It is not a de Polignac number, because 105505511101 - 215 = 105505478333 is a prime.

It is a super-2 number, since 2×1055055111012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505511131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24409110 + ... + 24413431.

It is an arithmetic number, because the mean of its divisors is an integer number (26388583951).

Almost surely, 2105505511101 is an apocalyptic number.

It is an amenable number.

105505511101 is a deficient number, since it is larger than the sum of its proper divisors (48824703).

105505511101 is an equidigital number, since it uses as much as digits as its factorization.

105505511101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48824702.

The product of its (nonzero) digits is 625, while the sum is 25.

The spelling of 105505511101 in words is "one hundred five billion, five hundred five million, five hundred eleven thousand, one hundred one".

Divisors: 1 2161 48822541 105505511101