100011090 has 16 divisors (see below), whose sum is σ = 240026688. Its totient is φ = 26669616.

The previous prime is 100011089. The next prime is 100011091. The reversal of 100011090 is 90110001.

It is an interprime number because it is at equal distance from previous prime (100011089) and next prime (100011091).

It is not an unprimeable number, because it can be changed into a prime (100011091) 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 7 ways as a sum of consecutive naturals, for example, 1666822 + ... + 1666881.

It is an arithmetic number, because the mean of its divisors is an integer number (15001668).

Almost surely, 2^100011090 is an apocalyptic number.

100011090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011090 is an abundant number, since it is smaller than the sum of its proper divisors (140015598).

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

100011090 is a wasteful number, since it uses less digits than its factorization.

100011090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333713.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 100011090 is about 10000.5544846273. The cubic root of 100011090 is about 464.1760411337.

Adding to 100011090 its reverse (90110001), we get a palindrome (190121091).

It can be divided in two parts, 1000 and 11090, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 100011090 in words is "one hundred million, eleven thousand, ninety".