10145400 has 96 divisors (see below), whose sum is σ = 32371440. Its totient is φ = 2626560.

The previous prime is 10145383. The next prime is 10145407. The reversal of 10145400 is 454101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10145400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21972 + ... + 22428.

Almost surely, 2^10145400 is an apocalyptic number.

10145400 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 10145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185720).

10145400 is an abundant number, since it is smaller than the sum of its proper divisors (22226040).

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

10145400 is a wasteful number, since it uses less digits than its factorization.

10145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10145400 is about 3185.1844530576. The cubic root of 10145400 is about 216.4826313655.

Adding to 10145400 its reverse (454101), we get a palindrome (10599501).

It can be divided in two parts, 1014 and 5400, that multiplied together give a square (5475600 = 2340²).

The spelling of 10145400 in words is "ten million, one hundred forty-five thousand, four hundred".