1000100034 has 48 divisors (see below), whose sum is σ = 2274304032. Its totient is φ = 329336928.

The previous prime is 1000100033. The next prime is 1000100051. The reversal of 1000100034 is 4300010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000099989 and 1000100025.

It is not an unprimeable number, because it can be changed into a prime (1000100033) 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, 27942 + ... + 52734.

It is an arithmetic number, because the mean of its divisors is an integer number (47381334).

Almost surely, 2^1000100034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000100034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137152016).

1000100034 is an abundant number, since it is smaller than the sum of its proper divisors (1274203998).

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

1000100034 is an equidigital number, since it uses as much as digits as its factorization.

1000100034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24893 (or 24881 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000100034 is about 31624.3582385477. The cubic root of 1000100034 is about 1000.0333435549.

Adding to 1000100034 its reverse (4300010001), we get a palindrome (5300110035).

The spelling of 1000100034 in words is "one billion, one hundred thousand, thirty-four".