10145616 has 80 divisors (see below), whose sum is σ = 28748160. Its totient is φ = 3064320.

The previous prime is 10145591. The next prime is 10145647. The reversal of 10145616 is 61654101.

10145616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44190 + ... + 44418.

It is an arithmetic number, because the mean of its divisors is an integer number (359352).

Almost surely, 2^10145616 is an apocalyptic number.

10145616 is a gapful number since it is divisible by the number (16) 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 10145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374080).

10145616 is an abundant number, since it is smaller than the sum of its proper divisors (18602544).

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

10145616 is a wasteful number, since it uses less digits than its factorization.

10145616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 10145616 is about 3185.2183598617. The cubic root of 10145616 is about 216.4841676913.

Adding to 10145616 its reverse (61654101), we get a palindrome (71799717).

The spelling of 10145616 in words is "ten million, one hundred forty-five thousand, six hundred sixteen".