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106643457 = 3211849273
BaseRepresentation
bin1100101101101…
…00000000000001
321102200001022200
412112310000001
5204300042312
614325423413
72433311604
oct626640001
9242601280
10106643457
1155219898
122b86ab69
131912b64b
141024033b
1595680dc
hex65b4001

106643457 has 6 divisors (see below), whose sum is σ = 154040562. Its totient is φ = 71095632.

The previous prime is 106643429. The next prime is 106643477. The reversal of 106643457 is 754346601.

It is a happy number.

106643457 is a `hidden beast` number, since 1 + 0 + 6 + 643 + 4 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104837121 + 1806336 = 10239^2 + 1344^2 .

It is not a de Polignac number, because 106643457 - 26 = 106643393 is a prime.

It is a super-2 number, since 2×1066434572 = 22745653841821698, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106643477) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5924628 + ... + 5924645.

It is an arithmetic number, because the mean of its divisors is an integer number (25673427).

It is a Proth number, since it is equal to 6509 ⋅ 214 + 1 and 6509 < 214.

Almost surely, 2106643457 is an apocalyptic number.

It is an amenable number.

106643457 is a deficient number, since it is larger than the sum of its proper divisors (47397105).

106643457 is a wasteful number, since it uses less digits than its factorization.

106643457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11849279 (or 11849276 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 106643457 is about 10326.8318956009. The cubic root of 106643457 is about 474.2180404752.

The spelling of 106643457 in words is "one hundred six million, six hundred forty-three thousand, four hundred fifty-seven".

Divisors: 1 3 9 11849273 35547819 106643457