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105701821 is a prime number
BaseRepresentation
bin1100100110011…
…10000110111101
321100220012122021
412103032012331
5204024424241
614253320141
72422310401
oct623160675
9240805567
10105701821
1154736385
122b496051
1318b8bb74
1410077101
15942e0d1
hex64ce1bd

105701821 has 2 divisors, whose sum is σ = 105701822. Its totient is φ = 105701820.

The previous prime is 105701819. The next prime is 105701851. The reversal of 105701821 is 128107501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63776196 + 41925625 = 7986^2 + 6475^2 .

It is a cyclic number.

It is not a de Polignac number, because 105701821 - 21 = 105701819 is a prime.

It is a super-2 number, since 2×1057018212 = 22345749925432082, which contains 22 as substring.

Together with 105701819, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105701851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52850910 + 52850911.

It is an arithmetic number, because the mean of its divisors is an integer number (52850911).

Almost surely, 2105701821 is an apocalyptic number.

105701821 is the 5496-th centered heptagonal number.

It is an amenable number.

105701821 is a deficient number, since it is larger than the sum of its proper divisors (1).

105701821 is an equidigital number, since it uses as much as digits as its factorization.

105701821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 25.

The square root of 105701821 is about 10281.1390905872. The cubic root of 105701821 is about 472.8181685433.

The spelling of 105701821 in words is "one hundred five million, seven hundred one thousand, eight hundred twenty-one".