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105949495061 is a prime number
BaseRepresentation
bin110001010101100010…
…1001111111100010101
3101010110210200000011122
41202223011033330111
53213441032320221
6120401133213325
710440345564104
oct1425305177425
9333423600148
10105949495061
1140a29800873
121864a331245
139cb62a4317
1451b128403b
152b516e7eab
hex18ab14ff15

105949495061 has 2 divisors, whose sum is σ = 105949495062. Its totient is φ = 105949495060.

The previous prime is 105949495019. The next prime is 105949495087. The reversal of 105949495061 is 160594949501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61643454961 + 44306040100 = 248281^2 + 210490^2 .

It is a cyclic number.

It is not a de Polignac number, because 105949495061 - 26 = 105949494997 is a prime.

It is a super-2 number, since 2×1059494950612 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105949494994 and 105949495012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105949495661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52974747530 + 52974747531.

It is an arithmetic number, because the mean of its divisors is an integer number (52974747531).

Almost surely, 2105949495061 is an apocalyptic number.

It is an amenable number.

105949495061 is a deficient number, since it is larger than the sum of its proper divisors (1).

105949495061 is an equidigital number, since it uses as much as digits as its factorization.

105949495061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1749600, while the sum is 53.

The spelling of 105949495061 in words is "one hundred five billion, nine hundred forty-nine million, four hundred ninety-five thousand, sixty-one".