10034900 has 36 divisors (see below), whose sum is σ = 22727712. Its totient is φ = 3838560.

The previous prime is 10034891. The next prime is 10034903. The reversal of 10034900 is 943001.

10034900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119 + ... + 4481.

Almost surely, 2^10034900 is an apocalyptic number.

10034900 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 10034900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11363856).

10034900 is an abundant number, since it is smaller than the sum of its proper divisors (12692812).

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

10034900 is a wasteful number, since it uses less digits than its factorization.

10034900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 10034900 is about 3167.7910284613. The cubic root of 10034900 is about 215.6938105669.

Adding to 10034900 its reverse (943001), we get a palindrome (10977901).

The spelling of 10034900 in words is "ten million, thirty-four thousand, nine hundred".