106590090 has 32 divisors (see below), whose sum is σ = 264070656. Its totient is φ = 27506880.

The previous prime is 106590089. The next prime is 106590137. The reversal of 106590090 is 90095601.

It is a super-2 number, since 2×106590090² = 22722894572416200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56377 + ... + 58236.

It is an arithmetic number, because the mean of its divisors is an integer number (8252208).

Almost surely, 2^106590090 is an apocalyptic number.

106590090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106590090 is an abundant number, since it is smaller than the sum of its proper divisors (157480566).

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

106590090 is a wasteful number, since it uses less digits than its factorization.

106590090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114654.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 106590090 is about 10324.2476723488. The cubic root of 106590090 is about 474.1389238325.

The spelling of 106590090 in words is "one hundred six million, five hundred ninety thousand, ninety".