Search a number
-
+
106536678705 = 33531137318541
BaseRepresentation
bin110001100111000010…
…1001011010100110001
3101011222201120000201000
41203032011023110301
53221141342204310
6120535310432213
710461035553552
oct1431605132461
9334881500630
10106536678705
11412001a5606
1218792b02669
13a07ab33472
145229252329
152b880334c0
hex18ce14b531

106536678705 has 64 divisors (see below), whose sum is σ = 195661117440. Its totient is φ = 54943660800.

The previous prime is 106536678691. The next prime is 106536678709. The reversal of 106536678705 is 507876635601.

It is not a de Polignac number, because 106536678705 - 25 = 106536678673 is a prime.

It is a super-2 number, since 2×1065366787052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106536678709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5736735 + ... + 5755275.

It is an arithmetic number, because the mean of its divisors is an integer number (3057204960).

Almost surely, 2106536678705 is an apocalyptic number.

106536678705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106536678705 is a deficient number, since it is larger than the sum of its proper divisors (89124438735).

106536678705 is a wasteful number, since it uses less digits than its factorization.

106536678705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19959 (or 19953 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 106536678705 in words is "one hundred six billion, five hundred thirty-six million, six hundred seventy-eight thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 465 837 1373 1395 4119 4185 6865 12357 18541 20595 37071 42563 55623 61785 92705 127689 166869 185355 212815 278115 383067 500607 574771 638445 834345 1149201 1724313 1915335 2503035 2873855 5172939 5746005 8621565 15518817 25456793 25864695 76370379 77594085 127283965 229111137 381851895 687333411 789160583 1145555685 2367481749 3436667055 3945802915 7102445247 11837408745 21307335741 35512226235 106536678705