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106629461 = 595033593
BaseRepresentation
bin1100101101100…
…00100101010101
321102122100010022
412112300211111
5204244120321
614325234525
72433223031
oct626604525
9242570108
10106629461
115520a324
122b862a45
1319125173
14102391c1
159563dab
hex65b0955

106629461 has 8 divisors (see below), whose sum is σ = 108682560. Its totient is φ = 104584672.

The previous prime is 106629451. The next prime is 106629487. The reversal of 106629461 is 164926601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106629461 is a prime.

It is a super-2 number, since 2×1066294612 = 22739683906301042, which 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 (106629401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27881 + ... + 31473.

It is an arithmetic number, because the mean of its divisors is an integer number (13585320).

Almost surely, 2106629461 is an apocalyptic number.

It is an amenable number.

106629461 is a deficient number, since it is larger than the sum of its proper divisors (2053099).

106629461 is an equidigital number, since it uses as much as digits as its factorization.

106629461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 106629461 is about 10326.1542211997. The cubic root of 106629461 is about 474.1972939420.

The spelling of 106629461 in words is "one hundred six million, six hundred twenty-nine thousand, four hundred sixty-one".

Divisors: 1 59 503 3593 29677 211987 1807279 106629461