10145600 has 84 divisors (see below), whose sum is σ = 26503884. Its totient is φ = 3809280.

The previous prime is 10145591. The next prime is 10145647. The reversal of 10145600 is 654101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7744 + 10137856 = 88^2 + 3184^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 27014 + ... + 27386.

Almost surely, 2^10145600 is an apocalyptic number.

10145600 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 10145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251942).

10145600 is an abundant number, since it is smaller than the sum of its proper divisors (16358284).

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

10145600 is a wasteful number, since it uses less digits than its factorization.

10145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10145600 is about 3185.2158482590. The cubic root of 10145600 is about 216.4840538901.

Adding to 10145600 its reverse (654101), we get a palindrome (10799701).

The spelling of 10145600 in words is "ten million, one hundred forty-five thousand, six hundred".