1000110100 has 72 divisors (see below), whose sum is σ = 2377222848. Its totient is φ = 362188800.

The previous prime is 1000110091. The next prime is 1000110101. The reversal of 1000110100 is 10110001.

1000110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 1000110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000110101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287572 + ... + 291028.

It is an arithmetic number, because the mean of its divisors is an integer number (33016984).

Almost surely, 2^1000110100 is an apocalyptic number.

1000110100 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 1000110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188611424).

1000110100 is an abundant number, since it is smaller than the sum of its proper divisors (1377112748).

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

1000110100 is a wasteful number, since it uses less digits than its factorization.

1000110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1000110100 is about 31624.5173876219. The cubic root of 1000110100 is about 1000.0366986532.

Adding to 1000110100 its reverse (10110001), we get a palindrome (1010220101).

Subtracting from 1000110100 its reverse (10110001), we obtain a palindrome (990000099).

The spelling of 1000110100 in words is "one billion, one hundred ten thousand, one hundred".