10331400 has 96 divisors (see below), whose sum is σ = 32631840. Its totient is φ = 2703360.

The previous prime is 10331371. The next prime is 10331407. The reversal of 10331400 is 413301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10331407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40072 + ... + 40328.

It is an arithmetic number, because the mean of its divisors is an integer number (339915).

Almost surely, 2^10331400 is an apocalyptic number.

10331400 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 10331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315920).

10331400 is an abundant number, since it is smaller than the sum of its proper divisors (22300440).

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

10331400 is a wasteful number, since it uses less digits than its factorization.

10331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10331400 is about 3214.2495236058. The cubic root of 10331400 is about 217.7975844666.

Adding to 10331400 its reverse (413301), we get a palindrome (10744701).

It can be divided in two parts, 10331 and 400, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10331400 in words is "ten million, three hundred thirty-one thousand, four hundred".