10034205750 has 128 divisors (see below), whose sum is σ = 28581022080. Its totient is φ = 2603404800.

The previous prime is 10034205739. The next prime is 10034205773. The reversal of 10034205750 is 5750243001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 229662 + ... + 269838.

It is an arithmetic number, because the mean of its divisors is an integer number (223289235).

Almost surely, 2^10034205750 is an apocalyptic number.

10034205750 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 10034205750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14290511040).

10034205750 is an abundant number, since it is smaller than the sum of its proper divisors (18546816330).

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

10034205750 is a wasteful number, since it uses less digits than its factorization.

10034205750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40240 (or 40224 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 10034205750 its reverse (5750243001), we get a palindrome (15784448751).

The spelling of 10034205750 in words is "ten billion, thirty-four million, two hundred five thousand, seven hundred fifty".