10241400 has 144 divisors (see below), whose sum is σ = 34718760. Its totient is φ = 2496000.

The previous prime is 10241383. The next prime is 10241401. The reversal of 10241400 is 414201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241401) 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 35 ways as a sum of consecutive naturals, for example, 101350 + ... + 101450.

Almost surely, 2^10241400 is an apocalyptic number.

10241400 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 10241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17359380).

10241400 is an abundant number, since it is smaller than the sum of its proper divisors (24477360).

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

10241400 is a wasteful number, since it uses less digits than its factorization.

10241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10241400 is about 3200.2187425237. The cubic root of 10241400 is about 217.1633051909.

Adding to 10241400 its reverse (414201), we get a palindrome (10655601).

The spelling of 10241400 in words is "ten million, two hundred forty-one thousand, four hundred".