105552801 has 10 divisors (see below), whose sum is σ = 157677762. Its totient is φ = 70368480.

The previous prime is 105552793. The next prime is 105552859. The reversal of 105552801 is 108255501.

105552801 is a `hidden beast` number, since 105 + 552 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90155025 + 15397776 = 9495^2 + 3924^2 .

It is not a de Polignac number, because 105552801 - 2³ = 105552793 is a prime.

It is a super-2 number, since 2×105552801² = 22282787597891202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105552871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 651480 + ... + 651641.

Almost surely, 2^105552801 is an apocalyptic number.

It is an amenable number.

105552801 is a deficient number, since it is larger than the sum of its proper divisors (52124961).

105552801 is an equidigital number, since it uses as much as digits as its factorization.

105552801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303133 (or 1303124 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 105552801 is about 10273.8892830320. The cubic root of 105552801 is about 472.5958686803.

The spelling of 105552801 in words is "one hundred five million, five hundred fifty-two thousand, eight hundred one".