1000100010 has 128 divisors (see below), whose sum is σ = 3034289664. Its totient is φ = 205286400.

The previous prime is 1000100009. The next prime is 1000100033. The reversal of 1000100010 is 100010001.

1000100010 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 (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

1000100010 is a modest number, since divided by 100010 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1000099968 and 1000100004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96060 + ... + 105960.

It is an arithmetic number, because the mean of its divisors is an integer number (23705388).

Almost surely, 2^1000100010 is an apocalyptic number.

1000100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517144832).

1000100010 is an abundant number, since it is smaller than the sum of its proper divisors (2034189654).

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

1000100010 is a wasteful number, since it uses less digits than its factorization.

1000100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 1000100010 is about 31624.3578590934. The cubic root of 1000100010 is about 1000.0333355554.

Adding to 1000100010 its reverse (100010001), we get a palindrome (1100110011).

Subtracting from 1000100010 its reverse (100010001), we obtain a palindrome (900090009).

The spelling of 1000100010 in words is "one billion, one hundred thousand, ten".