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106016509 = 179653907
BaseRepresentation
bin1100101000110…
…10111011111101
321101111012022101
412110122323331
5204120012014
614304145101
72425061014
oct624327375
9241435271
10106016509
1154930855
122b608191
1318c6c181
1410119a7b
159492474
hex651aefd

106016509 has 8 divisors (see below), whose sum is σ = 106889760. Its totient is φ = 105146736.

The previous prime is 106016503. The next prime is 106016527. The reversal of 106016509 is 905610601.

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-106016509 is a prime.

It is a super-2 number, since 2×1060165092 = 22479000361094162, 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 (106016503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116434 + ... + 117340.

It is an arithmetic number, because the mean of its divisors is an integer number (13361220).

Almost surely, 2106016509 is an apocalyptic number.

It is an amenable number.

106016509 is a deficient number, since it is larger than the sum of its proper divisors (873251).

106016509 is an equidigital number, since it uses as much as digits as its factorization.

106016509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 106016509 is about 10296.4318576874. The cubic root of 106016509 is about 473.2869173004.

The spelling of 106016509 in words is "one hundred six million, sixteen thousand, five hundred nine".

Divisors: 1 179 653 907 116887 162353 592271 106016509