Search a number
-
+
106010560125 = 3253105189659
BaseRepresentation
bin110001010111010111…
…0001100011001111101
3101010122001120102200200
41202232232030121331
53214102200411000
6120411154114113
710442016615261
oct1425656143175
9333561512620
10106010560125
1140a60219968
121866687b939
139cc5b34cb2
1451b941c0a1
152b56c5b500
hex18aeb8c67d

106010560125 has 48 divisors (see below), whose sum is σ = 191285664960. Its totient is φ = 56484540000.

The previous prime is 106010560093. The next prime is 106010560157. The reversal of 106010560125 is 521065010601.

It is a happy number.

106010560125 is a `hidden beast` number, since 1 + 0 + 601 + 0 + 56 + 0 + 1 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106010560093) and next prime (106010560157).

It is not a de Polignac number, because 106010560125 - 25 = 106010560093 is a prime.

It is a super-2 number, since 2×1060105601252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1137546 + ... + 1227204.

It is an arithmetic number, because the mean of its divisors is an integer number (3985118020).

Almost surely, 2106010560125 is an apocalyptic number.

106010560125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106010560125 is a deficient number, since it is larger than the sum of its proper divisors (85275104835).

106010560125 is a wasteful number, since it uses less digits than its factorization.

106010560125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90731 (or 90718 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 106010560125 its reverse (521065010601), we get a palindrome (627075570726).

The spelling of 106010560125 in words is "one hundred six billion, ten million, five hundred sixty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1051 1125 3153 5255 9459 15765 26275 47295 78825 89659 131375 236475 268977 394125 448295 806931 1182375 1344885 2241475 4034655 6724425 11207375 20173275 33622125 94231609 100866375 282694827 471158045 848084481 1413474135 2355790225 4240422405 7067370675 11778951125 21202112025 35336853375 106010560125