10029800 has 96 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 3532800.

The previous prime is 10029797. The next prime is 10029827. The reversal of 10029800 is 892001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103352 + ... + 103448.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^10029800 is an apocalyptic number.

10029800 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 10029800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

10029800 is an abundant number, since it is smaller than the sum of its proper divisors (16218520).

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

10029800 is a wasteful number, since it uses less digits than its factorization.

10029800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10029800 is about 3166.9859488163. The cubic root of 10029800 is about 215.6572639532.

The spelling of 10029800 in words is "ten million, twenty-nine thousand, eight hundred".