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106537965 = 357102531
BaseRepresentation
bin1100101100110…
…10001111101101
321102110200121120
412112122033231
5204233203330
614323251153
72432362212
oct626321755
9242420546
10106537965
1155157606
122b819ab9
13190c2621
1410213b09
159546c10
hex659a3ed

106537965 has 8 divisors (see below), whose sum is σ = 170460768. Its totient is φ = 56820240.

The previous prime is 106537933. The next prime is 106537969. The reversal of 106537965 is 569735601.

It is a happy number.

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

It is not a de Polignac number, because 106537965 - 25 = 106537933 is a prime.

It is a super-3 number, since 3×1065379653 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106537969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3551251 + ... + 3551280.

It is an arithmetic number, because the mean of its divisors is an integer number (21307596).

Almost surely, 2106537965 is an apocalyptic number.

106537965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106537965 is a deficient number, since it is larger than the sum of its proper divisors (63922803).

106537965 is an equidigital number, since it uses as much as digits as its factorization.

106537965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7102539.

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 106537965 is about 10321.7229666369. The cubic root of 106537965 is about 474.0616229591.

The spelling of 106537965 in words is "one hundred six million, five hundred thirty-seven thousand, nine hundred sixty-five".

Divisors: 1 3 5 15 7102531 21307593 35512655 106537965