105555090 has 32 divisors (see below), whose sum is σ = 253763136. Its totient is φ = 28100160.

The previous prime is 105555049. The next prime is 105555101. The reversal of 105555090 is 90555501.

It is a super-2 number, since 2×105555090² = 22283754049816200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

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, 17169 + ... + 22491.

It is an arithmetic number, because the mean of its divisors is an integer number (7930098).

Almost surely, 2^105555090 is an apocalyptic number.

105555090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105555090 is an abundant number, since it is smaller than the sum of its proper divisors (148208046).

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

105555090 is a wasteful number, since it uses less digits than its factorization.

105555090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994.

The product of its (nonzero) digits is 5625, while the sum is 30.

The square root of 105555090 is about 10274.0006813315. Note that the first 3 decimals coincide. The cubic root of 105555090 is about 472.5992848667.

The spelling of 105555090 in words is "one hundred five million, five hundred fifty-five thousand, ninety".