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105369007 = 378573323
BaseRepresentation
bin1100100011111…
…00110110101111
321100021022002211
412101330312233
5203433302012
614242231251
72416423162
oct621746657
9240238084
10105369007
1154529327
122b355527
1318aa3533
14ddcbad9
1593b56a7
hex647cdaf

105369007 has 8 divisors (see below), whose sum is σ = 108375696. Its totient is φ = 102370752.

The previous prime is 105368987. The next prime is 105369023. The reversal of 105369007 is 700963501.

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

It is a cyclic number.

It is not a de Polignac number, because 105369007 - 223 = 96980399 is a prime.

It is a super-2 number, since 2×1053690072 = 22205255272332098, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105369007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105369037) 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, 30048 + ... + 33370.

It is an arithmetic number, because the mean of its divisors is an integer number (13546962).

Almost surely, 2105369007 is an apocalyptic number.

105369007 is a deficient number, since it is larger than the sum of its proper divisors (3006689).

105369007 is an equidigital number, since it uses as much as digits as its factorization.

105369007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 105369007 is about 10264.9406720156. The cubic root of 105369007 is about 472.3214065207.

The spelling of 105369007 in words is "one hundred five million, three hundred sixty-nine thousand, seven".

Divisors: 1 37 857 3323 31709 122951 2847811 105369007