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106105560002 = 213192395871531
BaseRepresentation
bin110001011010001100…
…0100101101111000010
3101010212200022221000122
41202310120211233002
53214301010410002
6120424430220242
710444252243661
oct1426430455702
9333780287018
10106105560002
1140aa9905762
1218692654682
13a00c717940
1451c7caadd8
152b602746a2
hex18b4625bc2

106105560002 has 64 divisors (see below), whose sum is σ = 181604505600. Its totient is φ = 46091384640.

The previous prime is 106105559971. The next prime is 106105560007. The reversal of 106105560002 is 200065501601.

It is a super-2 number, since 2×1061055600022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (106105560007) 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 31 ways as a sum of consecutive naturals, for example, 69303977 + ... + 69305507.

It is an arithmetic number, because the mean of its divisors is an integer number (2837570400).

Almost surely, 2106105560002 is an apocalyptic number.

106105560002 is a deficient number, since it is larger than the sum of its proper divisors (75498945598).

106105560002 is a wasteful number, since it uses less digits than its factorization.

106105560002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391.

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 106105560002 in words is "one hundred six billion, one hundred five million, five hundred sixty thousand, two".

Divisors: 1 2 13 19 26 38 239 247 478 494 587 1174 1531 3062 3107 4541 6214 7631 9082 11153 15262 19903 22306 29089 39806 58178 59033 118066 140293 144989 280586 289978 365909 378157 731818 756314 898697 1797394 1823809 2665567 3647618 4756817 5331134 6952271 9513634 11683061 13904542 17075243 23366122 34150486 34652371 69304742 90379523 180759046 214788583 221978159 429577166 443956318 2792251579 4080983077 5584503158 8161966154 53052780001 106105560002