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105507298127 = 7111370224651
BaseRepresentation
bin110001001000010111…
…0011001101101001111
3101002022222121002000102
41202100232121231033
53212034332020002
6120245215321315
710423366144160
oct1422056315517
9332288532012
10105507298127
1140822134760
121854622023b
139c457aa22a
14516c657767
152b2799ba02
hex1890b99b4f

105507298127 has 8 divisors (see below), whose sum is σ = 131541566592. Its totient is φ = 82213479000.

The previous prime is 105507298111. The next prime is 105507298133. The reversal of 105507298127 is 721892705501.

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

It is a cyclic number.

It is not a de Polignac number, because 105507298127 - 24 = 105507298111 is a prime.

It is a super-2 number, since 2×1055072981272 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105507298147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685112249 + ... + 685112402.

It is an arithmetic number, because the mean of its divisors is an integer number (16442695824).

Almost surely, 2105507298127 is an apocalyptic number.

105507298127 is a deficient number, since it is larger than the sum of its proper divisors (26034268465).

105507298127 is a wasteful number, since it uses less digits than its factorization.

105507298127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370224669.

The product of its (nonzero) digits is 352800, while the sum is 47.

The spelling of 105507298127 in words is "one hundred five billion, five hundred seven million, two hundred ninety-eight thousand, one hundred twenty-seven".

Divisors: 1 7 11 77 1370224651 9591572557 15072471161 105507298127