10541310145350 has 96 divisors (see below), whose sum is σ = 26589235322880. Its totient is φ = 2762987760000.

The previous prime is 10541310145349. The next prime is 10541310145357. The reversal of 10541310145350 is 5354101314501.

It is a happy number.

It is a super-2 number, since 2×10541310145350² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541310145357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66658875 + ... + 66816825.

It is an arithmetic number, because the mean of its divisors is an integer number (276971201280).

Almost surely, 2^{10541310145350} is an apocalyptic number.

10541310145350 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 10541310145350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13294617661440).

10541310145350 is an abundant number, since it is smaller than the sum of its proper divisors (16047925177530).

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

10541310145350 is a wasteful number, since it uses less digits than its factorization.

10541310145350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165566 (or 165561 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 10541310145350 its reverse (5354101314501), we get a palindrome (15895411459851).

The spelling of 10541310145350 in words is "ten trillion, five hundred forty-one billion, three hundred ten million, one hundred forty-five thousand, three hundred fifty".