10234800 has 90 divisors (see below), whose sum is σ = 35530092. Its totient is φ = 2728320.

The previous prime is 10234781. The next prime is 10234811. The reversal of 10234800 is 843201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×10234800² = 209502262080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2179 + ... + 5021.

Almost surely, 2^10234800 is an apocalyptic number.

10234800 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 10234800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765046).

10234800 is an abundant number, since it is smaller than the sum of its proper divisors (25295292).

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

10234800 is a wasteful number, since it uses less digits than its factorization.

10234800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10234800 is about 3199.1873968244. The cubic root of 10234800 is about 217.1166453653.

The spelling of 10234800 in words is "ten million, two hundred thirty-four thousand, eight hundred".