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106466514405 = 35101157447611
BaseRepresentation
bin110001100100111100…
…1100001010111100101
3101011210211112022101020
41203021321201113211
53221020411430110
6120524322521353
710456224304116
oct1431171412745
9334724468336
10106466514405
1141174632089
1218773506259
13a069437c24
14521dbca20d
152b81cc3d70
hex18c9e615e5

106466514405 has 32 divisors (see below), whose sum is σ = 173129159808. Its totient is φ = 55861728000.

The previous prime is 106466514353. The next prime is 106466514437. The reversal of 106466514405 is 504415664601.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-106466514405 is a prime.

It is a super-2 number, since 2×1064665144052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14050 + ... + 461660.

It is an arithmetic number, because the mean of its divisors is an integer number (5410286244).

Almost surely, 2106466514405 is an apocalyptic number.

106466514405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106466514405 is a deficient number, since it is larger than the sum of its proper divisors (66662645403).

106466514405 is a wasteful number, since it uses less digits than its factorization.

106466514405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447877.

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 106466514405 in words is "one hundred six billion, four hundred sixty-six million, five hundred fourteen thousand, four hundred five".

Divisors: 1 3 5 15 101 157 303 471 505 785 1515 2355 15857 47571 79285 237855 447611 1342833 2238055 6714165 45208711 70274927 135626133 210824781 226043555 351374635 678130665 1054123905 7097767627 21293302881 35488838135 106466514405