10053145410 has 256 divisors, whose sum is σ = 30770565120. Its totient is φ = 2041712640.

The previous prime is 10053145409. The next prime is 10053145411. The reversal of 10053145410 is 1454135001.

It is a happy number.

10053145410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10053145409) and next prime (10053145411).

It is not an unprimeable number, because it can be changed into a prime (10053145411) 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 127 ways as a sum of consecutive naturals, for example, 21997902 + ... + 21998358.

It is an arithmetic number, because the mean of its divisors is an integer number (120197520).

Almost surely, 2^10053145410 is an apocalyptic number.

10053145410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053145410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385282560).

10053145410 is an abundant number, since it is smaller than the sum of its proper divisors (20717419710).

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

10053145410 is a wasteful number, since it uses less digits than its factorization.

10053145410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 10053145410 in words is "ten billion, fifty-three million, one hundred forty-five thousand, four hundred ten".