10034032100 has 18 divisors (see below), whose sum is σ = 21773849874. Its totient is φ = 4013612800.

The previous prime is 10034032097. The next prime is 10034032117. The reversal of 10034032100 is 123043001.

It can be written as a sum of positive squares in 3 ways, for example, as 1935472036 + 8098560064 = 43994^2 + 89992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50170061 + ... + 50170260.

Almost surely, 2^10034032100 is an apocalyptic number.

10034032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034032100 is an abundant number, since it is smaller than the sum of its proper divisors (11739817774).

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

10034032100 is a wasteful number, since it uses less digits than its factorization.

10034032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100340335 (or 100340328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10034032100 its reverse (123043001), we get a palindrome (10157075101).

The spelling of 10034032100 in words is "ten billion, thirty-four million, thirty-two thousand, one hundred".