Search a number
-
+
106110610 = 25731371061
BaseRepresentation
bin1100101001100…
…01111010010010
321101122222101121
412110301322102
5204131014420
614310152454
72425632244
oct624617222
9241588347
10106110610
1154995521
122b65272a
1318ca2c58
1410142094
1594b02aa
hex6531e92

106110610 has 32 divisors (see below), whose sum is σ = 195212592. Its totient is φ = 41518080.

The previous prime is 106110593. The next prime is 106110619. The reversal of 106110610 is 16011601.

It can be written as a sum of positive squares in 8 ways, for example, as 62299449 + 43811161 = 7893^2 + 6619^2 .

It is a super-2 number, since 2×1061106102 = 22518923109144200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106110619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99480 + ... + 100540.

Almost surely, 2106110610 is an apocalyptic number.

106110610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106110610 is a deficient number, since it is larger than the sum of its proper divisors (89101982).

106110610 is a wasteful number, since it uses less digits than its factorization.

106110610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 106110610 is about 10301.0004368508. Note that the first 3 decimals coincide. The cubic root of 106110610 is about 473.4269068237.

Subtracting from 106110610 its reverse (16011601), we obtain a palindrome (90099009).

The spelling of 106110610 in words is "one hundred six million, one hundred ten thousand, six hundred ten".

Divisors: 1 2 5 10 73 137 146 274 365 685 730 1061 1370 2122 5305 10001 10610 20002 50005 77453 100010 145357 154906 290714 387265 726785 774530 1453570 10611061 21222122 53055305 106110610