1001105690 has 32 divisors (see below), whose sum is σ = 2054762640. Its totient is φ = 347894784.

The previous prime is 1001105683. The next prime is 1001105701. The reversal of 1001105690 is 965011001.

It can be written as a sum of positive squares in 8 ways, for example, as 638926729 + 362178961 = 25277^2 + 19031^2 .

It is a super-2 number, since 2×1001105690² = 2004425205100752200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224285 + ... + 228704.

Almost surely, 2^1001105690 is an apocalyptic number.

1001105690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001105690 is an abundant number, since it is smaller than the sum of its proper divisors (1053656950).

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

1001105690 is a wasteful number, since it uses less digits than its factorization.

1001105690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453026.

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 1001105690 is about 31640.2542657293. The cubic root of 1001105690 is about 1000.3684275778.

Adding to 1001105690 its reverse (965011001), we get a palindrome (1966116691).

The spelling of 1001105690 in words is "one billion, one million, one hundred five thousand, six hundred ninety".