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106646929 = 2324492
BaseRepresentation
bin1100101101101…
…00110110010001
321102200020002021
412112310312101
5204300200204
614325451441
72433324664
oct626646621
9242606067
10106646929
1155221464
122b870b81
13191300bc
14102416db
159569154
hex65b4d91

106646929 has 9 divisors (see below), whose sum is σ = 111734203. Its totient is φ = 101782912.

The previous prime is 106646909. The next prime is 106646959. The reversal of 106646929 is 929646601.

It is a happy number.

The square root of 106646929 is 10327.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 65173329 + 41473600 = 8073^2 + 6440^2 .

It is not a de Polignac number, because 106646929 - 213 = 106638737 is a prime.

It is a super-2 number, since 2×1066469292 = 22747134930262082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106646909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 237297 + ... + 237745.

Almost surely, 2106646929 is an apocalyptic number.

106646929 is the 10327-th square number.

106646929 is the 5164-th centered octagonal number.

It is an amenable number.

106646929 is a deficient number, since it is larger than the sum of its proper divisors (5087274).

106646929 is an frugal number, since it uses more digits than its factorization.

106646929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The cubic root of 106646929 is about 474.2231868049.

The spelling of 106646929 in words is "one hundred six million, six hundred forty-six thousand, nine hundred twenty-nine".

Divisors: 1 23 449 529 10327 201601 237521 4636823 106646929