105561090 has 32 divisors (see below), whose sum is σ = 281496960. Its totient is φ = 28149552.

The previous prime is 105561083. The next prime is 105561091. The reversal of 105561090 is 90165501.

105561090 is a `hidden beast` number, since 1 + 0 + 556 + 109 + 0 = 666.

It is a super-2 number, since 2×105561090² = 22286287443976200, 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 (105561091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195214 + ... + 195753.

It is an arithmetic number, because the mean of its divisors is an integer number (8796780).

Almost surely, 2^105561090 is an apocalyptic number.

105561090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105561090 is an abundant number, since it is smaller than the sum of its proper divisors (175935870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105561090 is a wasteful number, since it uses less digits than its factorization.

105561090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390983 (or 390977 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105561090 is about 10274.2926763841. The cubic root of 105561090 is about 472.6082392493.

The spelling of 105561090 in words is "one hundred five million, five hundred sixty-one thousand, ninety".