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105661911179 = 1110789772227
BaseRepresentation
bin110001001100111110…
…0001101000010001011
3101002201202112020020202
41202121330031002023
53212343422124204
6120312421242415
710430254266116
oct1423174150213
9332652466222
10105661911179
11408a1437840
1218589b6340b
139c6b832a46
145184dc357d
152b3633ce1e
hex1899f0d08b

105661911179 has 8 divisors (see below), whose sum is σ = 116344807488. Its totient is φ = 95158559560.

The previous prime is 105661911109. The next prime is 105661911203. The reversal of 105661911179 is 971119166501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105661911179 is a prime.

It is a super-2 number, since 2×1056619111792 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105661911109) 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 7 ways as a sum of consecutive naturals, for example, 44884937 + ... + 44887290.

It is an arithmetic number, because the mean of its divisors is an integer number (14543100936).

Almost surely, 2105661911179 is an apocalyptic number.

105661911179 is a deficient number, since it is larger than the sum of its proper divisors (10682896309).

105661911179 is a wasteful number, since it uses less digits than its factorization.

105661911179 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89772345.

The product of its (nonzero) digits is 102060, while the sum is 47.

The spelling of 105661911179 in words is "one hundred five billion, six hundred sixty-one million, nine hundred eleven thousand, one hundred seventy-nine".

Divisors: 1 11 107 1177 89772227 987494497 9605628289 105661911179