10029750 has 64 divisors (see below), whose sum is σ = 25698816. Its totient is φ = 2604000.

The previous prime is 10029671. The next prime is 10029751. The reversal of 10029750 is 5792001.

It is a self number, because there is not a number n which added to its sum of digits gives 10029750.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10029751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32095 + ... + 32405.

It is an arithmetic number, because the mean of its divisors is an integer number (401544).

Almost surely, 2^10029750 is an apocalyptic number.

10029750 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 10029750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12849408).

10029750 is an abundant number, since it is smaller than the sum of its proper divisors (15669066).

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

10029750 is a wasteful number, since it uses less digits than its factorization.

10029750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10029750 is about 3166.9780548656. The cubic root of 10029750 is about 215.6569055917.

The spelling of 10029750 in words is "ten million, twenty-nine thousand, seven hundred fifty".