Search a number
-
+
106680035 = 5711401691
BaseRepresentation
bin1100101101111…
…00111011100011
321102201220111102
412112330323203
5204302230120
614330305015
72433523340
oct626747343
9242656442
10106680035
1155244320
122b88816b
13191421a7
141024d7c7
159573d75
hex65bcee3

106680035 has 32 divisors (see below), whose sum is σ = 160233984. Its totient is φ = 66240000.

The previous prime is 106680029. The next prime is 106680037. The reversal of 106680035 is 530086601.

It is not a de Polignac number, because 106680035 - 28 = 106679779 is a prime.

It is a super-2 number, since 2×1066800352 = 22761259735202450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106680037) 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 31 ways as a sum of consecutive naturals, for example, 154040 + ... + 154730.

It is an arithmetic number, because the mean of its divisors is an integer number (5007312).

Almost surely, 2106680035 is an apocalyptic number.

106680035 is a deficient number, since it is larger than the sum of its proper divisors (53553949).

106680035 is a wasteful number, since it uses less digits than its factorization.

106680035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 106680035 is about 10328.6027612645. The cubic root of 106680035 is about 474.2722521608.

The spelling of 106680035 in words is "one hundred six million, six hundred eighty thousand, thirty-five".

Divisors: 1 5 7 11 35 55 77 385 401 691 2005 2807 3455 4411 4837 7601 14035 22055 24185 30877 38005 53207 154385 266035 277091 1385455 1939637 3048001 9698185 15240005 21336007 106680035