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105977053779 = 382742715459
BaseRepresentation
bin110001010110010111…
…0011000001001010011
3101010112201112010121220
41202230232120021103
53214020111210104
6120404000020123
710441132044162
oct1425456301123
9333481463556
10105977053779
1140a43314073
1218657601643
139cbbc0305c
1451b4bb93d9
152b53d3d7d9
hex18acb98253

105977053779 has 8 divisors (see below), whose sum is σ = 141473603520. Its totient is φ = 70565936616.

The previous prime is 105977053753. The next prime is 105977053781. The reversal of 105977053779 is 977350779501.

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

It is not a de Polignac number, because 105977053779 - 29 = 105977053267 is a prime.

It is a super-2 number, since 2×1059770537792 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105977053739) 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, 21355249 + ... + 21360210.

It is an arithmetic number, because the mean of its divisors is an integer number (17684200440).

Almost surely, 2105977053779 is an apocalyptic number.

105977053779 is a deficient number, since it is larger than the sum of its proper divisors (35496549741).

105977053779 is an equidigital number, since it uses as much as digits as its factorization.

105977053779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42716289.

The product of its (nonzero) digits is 14586075, while the sum is 60.

The spelling of 105977053779 in words is "one hundred five billion, nine hundred seventy-seven million, fifty-three thousand, seven hundred seventy-nine".

Divisors: 1 3 827 2481 42715459 128146377 35325684593 105977053779