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106340044160 = 275723736617
BaseRepresentation
bin110001100001001011…
…1000100110110000000
3101011111000112221211002
41203002113010312000
53220241022403120
6120504004111132
710453130314160
oct1430227046600
9334430487732
10106340044160
114110a201119
12187390954a8
13a049186c6c
14520b0a85a0
152b75b41375
hex18c25c4d80

106340044160 has 64 divisors (see below), whose sum is σ = 290536204320. Its totient is φ = 36459442176.

The previous prime is 106340044159. The next prime is 106340044207. The reversal of 106340044160 is 61440043601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1063400441602 (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 7 ways as a sum of consecutive naturals, for example, 11863829 + ... + 11872788.

Almost surely, 2106340044160 is an apocalyptic number.

106340044160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106340044160 is an abundant number, since it is smaller than the sum of its proper divisors (184196160160).

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

106340044160 is an equidigital number, since it uses as much as digits as its factorization.

106340044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23736643 (or 23736631 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 106340044160 its reverse (61440043601), we get a palindrome (167780087761).

The spelling of 106340044160 in words is "one hundred six billion, three hundred forty million, forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 23736617 47473234 94946468 118683085 166156319 189892936 237366170 332312638 379785872 474732340 664625276 759571744 830781595 949464680 1329250552 1519143488 1661563190 1898929360 2658501104 3038286976 3323126380 3797858720 5317002208 6646252760 7595717440 10634004416 13292505520 15191434880 21268008832 26585011040 53170022080 106340044160