Search a number
-
+
106105600605 = 35191753921227
BaseRepresentation
bin110001011010001100…
…0101111101001011101
3101010212200101222201110
41202310120233221131
53214301013204410
6120424431132233
710444252503234
oct1426430575135
9333780358643
10106105600605
1140aa9933214
1218692674079
13a00c730274
1451c7cbbb1b
152b60281720
hex18b462fa5d

106105600605 has 32 divisors (see below), whose sum is σ = 178722777600. Its totient is φ = 53605668672.

The previous prime is 106105600597. The next prime is 106105600619. The reversal of 106105600605 is 506006501601.

It is not a de Polignac number, because 106105600605 - 23 = 106105600597 is a prime.

It is a super-2 number, since 2×1061056006052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4988002 + ... + 5009228.

It is an arithmetic number, because the mean of its divisors is an integer number (5585086800).

Almost surely, 2106105600605 is an apocalyptic number.

106105600605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106105600605 is a deficient number, since it is larger than the sum of its proper divisors (72617176995).

106105600605 is a wasteful number, since it uses less digits than its factorization.

106105600605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38793.

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

The spelling of 106105600605 in words is "one hundred six billion, one hundred five million, six hundred thousand, six hundred five".

Divisors: 1 3 5 15 19 57 95 285 17539 21227 52617 63681 87695 106135 263085 318405 333241 403313 999723 1209939 1666205 2016565 4998615 6049695 372300353 1116901059 1861501765 5584505295 7073706707 21221120121 35368533535 106105600605