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146105106 = 23717212037
BaseRepresentation
bin10001011010101…
…10001100010010
3101011220220112020
420231112030102
5244400330411
622255312310
73422605260
oct1055261422
9334826466
10146105106
1175521a24
1240b1b696
1324367134
1415593430
15cc60606
hex8b56312

146105106 has 48 divisors (see below), whose sum is σ = 354783936. Its totient is φ = 39285504.

The previous prime is 146105101. The next prime is 146105111. The reversal of 146105106 is 601501641.

146105106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146105101) and next prime (146105111).

It is not an unprimeable number, because it can be changed into a prime (146105101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6120 + ... + 18156.

It is an arithmetic number, because the mean of its divisors is an integer number (7391332).

Almost surely, 2146105106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146105106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177391968).

146105106 is an abundant number, since it is smaller than the sum of its proper divisors (208678830).

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

146105106 is a wasteful number, since it uses less digits than its factorization.

146105106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12083 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 146105106 is about 12087.3945083297. The cubic root of 146105106 is about 526.6900709747.

Adding to 146105106 its reverse (601501641), we get a palindrome (747606747).

The spelling of 146105106 in words is "one hundred forty-six million, one hundred five thousand, one hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 289 357 578 714 867 1734 2023 4046 6069 12037 12138 24074 36111 72222 84259 168518 204629 252777 409258 505554 613887 1227774 1432403 2864806 3478693 4297209 6957386 8594418 10436079 20872158 24350851 48701702 73052553 146105106