10145310552 has 96 divisors (see below), whose sum is σ = 29670841200. Its totient is φ = 3113157888.

The previous prime is 10145310551. The next prime is 10145310599. The reversal of 10145310552 is 25501354101.

10145310552 is a `hidden beast` number, since 101 + 4 + 5 + 3 + 1 + 0 + 552 = 666.

10145310552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145310551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334599 + ... + 363657.

Almost surely, 2^10145310552 is an apocalyptic number.

10145310552 is a gapful number since it is divisible by the number (12) 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 10145310552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835420600).

10145310552 is an abundant number, since it is smaller than the sum of its proper divisors (19525530648).

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

10145310552 is a wasteful number, since it uses less digits than its factorization.

10145310552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29457 (or 29450 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 10145310552 its reverse (25501354101), we get a palindrome (35646664653).

The spelling of 10145310552 in words is "ten billion, one hundred forty-five million, three hundred ten thousand, five hundred fifty-two".