105457821 has 8 divisors (see below), whose sum is σ = 160697664. Its totient is φ = 60261600.

The previous prime is 105457819. The next prime is 105457823. The reversal of 105457821 is 128754501.

It is an interprime number because it is at equal distance from previous prime (105457819) and next prime (105457823).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105457821 - 2¹ = 105457819 is a prime.

It is a super-2 number, since 2×105457821² = 22242704020136082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105457823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2510880 + ... + 2510921.

It is an arithmetic number, because the mean of its divisors is an integer number (20087208).

Almost surely, 2^105457821 is an apocalyptic number.

It is an amenable number.

105457821 is a deficient number, since it is larger than the sum of its proper divisors (55239843).

105457821 is an equidigital number, since it uses as much as digits as its factorization.

105457821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021811.

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 105457821 is about 10269.2658452296. The cubic root of 105457821 is about 472.4540735295.

The spelling of 105457821 in words is "one hundred five million, four hundred fifty-seven thousand, eight hundred twenty-one".