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106411014 = 23212746549
BaseRepresentation
bin1100101011110…
…11010000000110
321102020020110200
412111323100012
5204220123024
614320431330
72431323123
oct625732006
9242206420
10106411014
1155080196
122b778546
13190798c8
14101bd74a
15951e2c9
hex657b406

106411014 has 24 divisors (see below), whose sum is σ = 232377600. Its totient is φ = 35190288.

The previous prime is 106411009. The next prime is 106411061. The reversal of 106411014 is 410114601.

106411014 is a `hidden beast` number, since 1 + 0 + 641 + 10 + 14 = 666.

It is a super-2 number, since 2×1064110142 = 22646607801016392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20989 + ... + 25560.

It is an arithmetic number, because the mean of its divisors is an integer number (9682400).

Almost surely, 2106411014 is an apocalyptic number.

106411014 is an abundant number, since it is smaller than the sum of its proper divisors (125966586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106411014 is a wasteful number, since it uses less digits than its factorization.

106411014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46684 (or 46681 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106411014 is about 10315.5714335174. The cubic root of 106411014 is about 473.8732503055.

Adding to 106411014 its reverse (410114601), we get a palindrome (516525615).

It can be divided in two parts, 10 and 6411014, that added together give a square (6411024 = 25322).

The spelling of 106411014 in words is "one hundred six million, four hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 9 18 127 254 381 762 1143 2286 46549 93098 139647 279294 418941 837882 5911723 11823446 17735169 35470338 53205507 106411014