Search a number
-
+
106605298710 = 23253073858317
BaseRepresentation
bin110001101001000101…
…0111100010000010110
3101012011111200021122200
41203102022330100112
53221311424024320
6120550201305330
710462531042101
oct1432212742026
9335144607580
10106605298710
1141235a03859
12187b1a95246
13a08c10ab11
1452343d5738
152b8e08a290
hex18d22bc416

106605298710 has 48 divisors (see below), whose sum is σ = 278076694896. Its totient is φ = 28335472704.

The previous prime is 106605298673. The next prime is 106605298711. The reversal of 106605298710 is 17892506601.

106605298710 is a `hidden beast` number, since 1 + 0 + 6 + 605 + 29 + 8 + 7 + 10 = 666.

It is a super-2 number, since 2×1066052987102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106605298711) 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, 1901529 + ... + 1956788.

It is an arithmetic number, because the mean of its divisors is an integer number (5793264477).

Almost surely, 2106605298710 is an apocalyptic number.

106605298710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106605298710 is an abundant number, since it is smaller than the sum of its proper divisors (171471396186).

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

106605298710 is a wasteful number, since it uses less digits than its factorization.

106605298710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858637 (or 3858634 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 106605298710 in words is "one hundred six billion, six hundred five million, two hundred ninety-eight thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 307 614 921 1535 1842 2763 3070 4605 5526 9210 13815 27630 3858317 7716634 11574951 19291585 23149902 34724853 38583170 57874755 69449706 115749510 173624265 347248530 1184503319 2369006638 3553509957 5922516595 7107019914 10660529871 11845033190 17767549785 21321059742 35535099570 53302649355 106605298710