10545145352310 has 64 divisors (see below), whose sum is σ = 25861524480000. Its totient is φ = 2750642858112.

The previous prime is 10545145352297. The next prime is 10545145352321. The reversal of 10545145352310 is 1325354154501.

10545145352310 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 2×10545145352310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354316 + ... + 4606064.

It is an arithmetic number, because the mean of its divisors is an integer number (404086320000).

Almost surely, 2^{10545145352310} is an apocalyptic number.

10545145352310 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 10545145352310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930762240000).

10545145352310 is an abundant number, since it is smaller than the sum of its proper divisors (15316379127690).

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

10545145352310 is a wasteful number, since it uses less digits than its factorization.

10545145352310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253565.

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 10545145352310 in words is "ten trillion, five hundred forty-five billion, one hundred forty-five million, three hundred fifty-two thousand, three hundred ten".