10035034100 has 108 divisors (see below), whose sum is σ = 26948837664. Its totient is φ = 3175885440.

The previous prime is 10035034099. The next prime is 10035034117. The reversal of 10035034100 is 143053001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75887 + ... + 160713.

Almost surely, 2^10035034100 is an apocalyptic number.

10035034100 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 10035034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13474418832).

10035034100 is an abundant number, since it is smaller than the sum of its proper divisors (16913803564).

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

10035034100 is a wasteful number, since it uses less digits than its factorization.

10035034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84874 (or 84854 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 10035034100 its reverse (143053001), we get a palindrome (10178087101).

The spelling of 10035034100 in words is "ten billion, thirty-five million, thirty-four thousand, one hundred".