10505020152 has 64 divisors (see below), whose sum is σ = 28755970560. Its totient is φ = 3171571200.

The previous prime is 10505020129. The next prime is 10505020153. The reversal of 10505020152 is 25102050501.

10505020152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10505020152² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505020153) 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 15 ways as a sum of consecutive naturals, for example, 1873 + ... + 144960.

It is an arithmetic number, because the mean of its divisors is an integer number (449312040).

Almost surely, 2^10505020152 is an apocalyptic number.

10505020152 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 10505020152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377985280).

10505020152 is an abundant number, since it is smaller than the sum of its proper divisors (18250950408).

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

10505020152 is a wasteful number, since it uses less digits than its factorization.

10505020152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147124 (or 147120 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

Adding to 10505020152 its reverse (25102050501), we get a palindrome (35607070653).

The spelling of 10505020152 in words is "ten billion, five hundred five million, twenty thousand, one hundred fifty-two".