10145688 has 64 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 2870400.

The previous prime is 10145683. The next prime is 10145693. The reversal of 10145688 is 88654101.

It is an interprime number because it is at equal distance from previous prime (10145683) and next prime (10145693).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145683) 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 15 ways as a sum of consecutive naturals, for example, 21778 + ... + 22238.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 2^10145688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160).

10145688 is an abundant number, since it is smaller than the sum of its proper divisors (19126632).

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

10145688 is a wasteful number, since it uses less digits than its factorization.

10145688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 10145688 is about 3185.2296620495. The cubic root of 10145688 is about 216.4846797950.

Adding to 10145688 its reverse (88654101), we get a palindrome (98799789).

The spelling of 10145688 in words is "ten million, one hundred forty-five thousand, six hundred eighty-eight".