Search a number
-
+
106210602 = 2344379193
BaseRepresentation
bin1100101010010…
…10010100101010
321101212001120000
412111022110222
5204142214402
614312243430
72426526621
oct625122452
9241761500
10106210602
1154a53663
122b6a0576
1319009614
141016a6b8
1594cec1c
hex654a52a

106210602 has 80 divisors (see below), whose sum is σ = 247885440. Its totient is φ = 33965568.

The previous prime is 106210583. The next prime is 106210633. The reversal of 106210602 is 206012601.

It is a happy number.

106210602 is a `hidden beast` number, since 1 + 0 + 62 + 1 + 0 + 602 = 666.

It is a super-2 number, since 2×1062106022 = 22561383954404808, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 550218 + ... + 550410.

It is an arithmetic number, because the mean of its divisors is an integer number (3098568).

Almost surely, 2106210602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106210602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123942720).

106210602 is an abundant number, since it is smaller than the sum of its proper divisors (141674838).

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

106210602 is a wasteful number, since it uses less digits than its factorization.

106210602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106210602 is about 10305.8528031406. The cubic root of 106210602 is about 473.5755694356.

It can be divided in two parts, 1062 and 10602, that added together give a square (11664 = 1082).

The spelling of 106210602 in words is "one hundred six million, two hundred ten thousand, six hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 79 81 86 129 158 162 193 237 258 386 387 474 579 711 774 1158 1161 1422 1737 2133 2322 3397 3474 3483 4266 5211 6399 6794 6966 8299 10191 10422 12798 15247 15633 16598 20382 24897 30494 30573 31266 45741 49794 61146 74691 91482 91719 137223 149382 183438 224073 274446 275157 411669 448146 550314 655621 672219 823338 1235007 1311242 1344438 1966863 2470014 3933726 5900589 11801178 17701767 35403534 53105301 106210602