Search a number
-
+
105744669 = 3125927997
BaseRepresentation
bin1100100110110…
…00100100011101
321100222101102020
412103120210131
5204032312134
614254250353
72422546332
oct623304435
9240871366
10105744669
1154765598
122b4b69b9
1318ba5514
1410088989
15943bb49
hex64d891d

105744669 has 8 divisors (see below), whose sum is σ = 141109920. Its totient is φ = 70437936.

The previous prime is 105744637. The next prime is 105744703. The reversal of 105744669 is 966447501.

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

It is not a de Polignac number, because 105744669 - 25 = 105744637 is a prime.

It is a super-2 number, since 2×1057446692 = 22363870043839122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105744669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105744619) 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, 10222 + ... + 17775.

It is an arithmetic number, because the mean of its divisors is an integer number (17638740).

Almost surely, 2105744669 is an apocalyptic number.

It is an amenable number.

105744669 is a deficient number, since it is larger than the sum of its proper divisors (35365251).

105744669 is a wasteful number, since it uses less digits than its factorization.

105744669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29259.

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 105744669 is about 10283.2226952449. Note that the first 3 decimals coincide. The cubic root of 105744669 is about 472.8820481619.

The spelling of 105744669 in words is "one hundred five million, seven hundred forty-four thousand, six hundred sixty-nine".

Divisors: 1 3 1259 3777 27997 83991 35248223 105744669