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105974802049 is a prime number
BaseRepresentation
bin110001010110010010…
…1110010011010000001
3101010112120021201211111
41202230211302122001
53214014022131144
6120403435443321
710441103645314
oct1425445623201
9333476251744
10105974802049
1140a42016336
12186568b6541
139cbb5c517c
1451b479097b
152b53a46534
hex18ac972681

105974802049 has 2 divisors, whose sum is σ = 105974802050. Its totient is φ = 105974802048.

The previous prime is 105974801957. The next prime is 105974802053. The reversal of 105974802049 is 940208479501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89038382449 + 16936419600 = 298393^2 + 130140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105974802049 is a prime.

It is a super-2 number, since 2×1059748020492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105974801993 and 105974802011.

It is not a weakly prime, because it can be changed into another prime (105974802149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52987401024 + 52987401025.

It is an arithmetic number, because the mean of its divisors is an integer number (52987401025).

Almost surely, 2105974802049 is an apocalyptic number.

It is an amenable number.

105974802049 is a deficient number, since it is larger than the sum of its proper divisors (1).

105974802049 is an equidigital number, since it uses as much as digits as its factorization.

105974802049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 105974802049 in words is "one hundred five billion, nine hundred seventy-four million, eight hundred two thousand, forty-nine".