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105178900793 is a prime number
BaseRepresentation
bin110000111110100100…
…1101010100100111001
3101001111002122202120012
41201331021222210321
53210401244311133
6120152444511305
710412300622431
oct1417511524471
9331432582505
10105178900793
11406738249aa
121847424b535
139bc2748a95
14513abb12c1
152b08c2db48
hex187d26a939

105178900793 has 2 divisors, whose sum is σ = 105178900794. Its totient is φ = 105178900792.

The previous prime is 105178900753. The next prime is 105178900817. The reversal of 105178900793 is 397009871501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91510485049 + 13668415744 = 302507^2 + 116912^2 .

It is a cyclic number.

It is not a de Polignac number, because 105178900793 - 220 = 105177852217 is a prime.

It is a super-2 number, since 2×1051789007932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105178900753) 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 as a sum of consecutive naturals, namely, 52589450396 + 52589450397.

It is an arithmetic number, because the mean of its divisors is an integer number (52589450397).

Almost surely, 2105178900793 is an apocalyptic number.

It is an amenable number.

105178900793 is a deficient number, since it is larger than the sum of its proper divisors (1).

105178900793 is an equidigital number, since it uses as much as digits as its factorization.

105178900793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 476280, while the sum is 50.

The spelling of 105178900793 in words is "one hundred five billion, one hundred seventy-eight million, nine hundred thousand, seven hundred ninety-three".