105854821 has 2 divisors, whose sum is σ = 105854822. Its totient is φ = 105854820.

The previous prime is 105854813. The next prime is 105854849. The reversal of 105854821 is 128458501.

105854821 is nontrivially palindromic in base 6.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66341025 + 39513796 = 8145^2 + 6286^2 .

It is a cyclic number.

It is not a de Polignac number, because 105854821 - 2³ = 105854813 is a prime.

It is a super-2 number, since 2×105854821² = 22410486257884082, which contains 22 as substring.

It is equal to p_6078940 and since 105854821 and 6078940 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105857821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52927410 + 52927411.

It is an arithmetic number, because the mean of its divisors is an integer number (52927411).

Almost surely, 2^105854821 is an apocalyptic number.

It is an amenable number.

105854821 is a deficient number, since it is larger than the sum of its proper divisors (1).

105854821 is an equidigital number, since it uses as much as digits as its factorization.

105854821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 105854821 is about 10288.5772097020. The cubic root of 105854821 is about 473.0461882794.

The spelling of 105854821 in words is "one hundred five million, eight hundred fifty-four thousand, eight hundred twenty-one".