105820557 has 16 divisors (see below), whose sum is σ = 148738560. Its totient is φ = 66735792.

The previous prime is 105820541. The next prime is 105820573. The reversal of 105820557 is 755028501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105820541) and next prime (105820573).

It is not a de Polignac number, because 105820557 - 2⁴ = 105820541 is a prime.

It is a super-3 number, since 3×105820557³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105820457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72408 + ... + 73854.

It is an arithmetic number, because the mean of its divisors is an integer number (9296160).

Almost surely, 2^105820557 is an apocalyptic number.

It is an amenable number.

105820557 is a deficient number, since it is larger than the sum of its proper divisors (42918003).

105820557 is a wasteful number, since it uses less digits than its factorization.

105820557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752.

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 105820557 is about 10286.9119272987. The cubic root of 105820557 is about 472.9951428835.

The spelling of 105820557 in words is "one hundred five million, eight hundred twenty thousand, five hundred fifty-seven".