Search a number
-
+
106710030 = 232571071583
BaseRepresentation
bin1100101110001…
…00010000001110
321102210102122100
412113010100032
5204304210110
614331055530
72434006650
oct627042016
9242712570
10106710030
1155264909
122b8a15a6
1319152a3b
141025a6d0
15957cbc0
hex65c440e

106710030 has 96 divisors (see below), whose sum is σ = 320246784. Its totient is φ = 24147648.

The previous prime is 106710017. The next prime is 106710059. The reversal of 106710030 is 30017601.

It is a super-2 number, since 2×1067100302 = 22774061005201800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106709985 and 106710012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66619 + ... + 68201.

It is an arithmetic number, because the mean of its divisors is an integer number (3335904).

Almost surely, 2106710030 is an apocalyptic number.

106710030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106710030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160123392).

106710030 is an abundant number, since it is smaller than the sum of its proper divisors (213536754).

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

106710030 is a wasteful number, since it uses less digits than its factorization.

106710030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 106710030 is about 10330.0546949181. The cubic root of 106710030 is about 474.3166980377.

Adding to 106710030 its reverse (30017601), we get a palindrome (136727631).

The spelling of 106710030 in words is "one hundred six million, seven hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 107 126 210 214 315 321 535 630 642 749 963 1070 1498 1583 1605 1926 2247 3166 3210 3745 4494 4749 4815 6741 7490 7915 9498 9630 11081 11235 13482 14247 15830 22162 22470 23745 28494 33243 33705 47490 55405 66486 67410 71235 99729 110810 142470 166215 169381 199458 332430 338762 498645 508143 846905 997290 1016286 1185667 1524429 1693810 2371334 2540715 3048858 3557001 5081430 5928335 7114002 7622145 10671003 11856670 15244290 17785005 21342006 35570010 53355015 106710030