1100100040 has 64 divisors (see below), whose sum is σ = 2682187200. Its totient is φ = 403667712.

The previous prime is 1100099993. The next prime is 1100100041. The reversal of 1100100040 is 400010011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1100099996 and 1100100032.

It is not an unprimeable number, because it can be changed into a prime (1100100041) 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, 78271 + ... + 91249.

It is an arithmetic number, because the mean of its divisors is an integer number (41909175).

Almost surely, 2^1100100040 is an apocalyptic number.

1100100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341093600).

1100100040 is an abundant number, since it is smaller than the sum of its proper divisors (1582087160).

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

1100100040 is a wasteful number, since it uses less digits than its factorization.

1100100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13166 (or 13162 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1100100040 is about 33167.7560290111. The cubic root of 1100100040 is about 1032.3114082358.

Adding to 1100100040 its reverse (400010011), we get a palindrome (1500110051).

The spelling of 1100100040 in words is "one billion, one hundred million, one hundred thousand, forty".