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5106105606 = 237433119091
BaseRepresentation
bin1001100000101100…
…01111110100000110
3111011212001001002110
410300112033310012
540424130334411
62202401321450
7240351116160
oct46026176406
914155031073
105106105606
112190299798
12ba6036286
13634b2c484
14366201930
151ed4152a6
hex13058fd06

5106105606 has 64 divisors (see below), whose sum is σ = 11982237696. Its totient is φ = 1420221600.

The previous prime is 5106105569. The next prime is 5106105607. The reversal of 5106105606 is 6065016015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106105607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557121 + ... + 566211.

It is an arithmetic number, because the mean of its divisors is an integer number (187222464).

Almost surely, 25106105606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106105606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991118848).

5106105606 is an abundant number, since it is smaller than the sum of its proper divisors (6876132090).

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

5106105606 is a wasteful number, since it uses less digits than its factorization.

5106105606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5106105606 is about 71457.0192913194. The cubic root of 5106105606 is about 1721.9872476700.

The spelling of 5106105606 in words is "five billion, one hundred six million, one hundred five thousand, six hundred six".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 311 602 622 903 933 1806 1866 2177 4354 6531 9091 13062 13373 18182 26746 27273 40119 54546 63637 80238 93611 127274 187222 190911 280833 381822 390913 561666 781826 1172739 2345478 2736391 2827301 5472782 5654602 8209173 8481903 16418346 16963806 19791107 39582214 59373321 118746642 121573943 243147886 364721829 729443658 851017601 1702035202 2553052803 5106105606