10510345060410 has 96 divisors (see below), whose sum is σ = 27317029213440. Its totient is φ = 2586918407424.

The previous prime is 10510345060363. The next prime is 10510345060417. The reversal of 10510345060410 is 1406054301501.

It is a happy number.

It is a super-2 number, since 2×10510345060410² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10510345060417) 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 47 ways as a sum of consecutive naturals, for example, 57092632 + ... + 57276428.

It is an arithmetic number, because the mean of its divisors is an integer number (284552387640).

Almost surely, 2^{10510345060410} is an apocalyptic number.

10510345060410 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 10510345060410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13658514606720).

10510345060410 is an abundant number, since it is smaller than the sum of its proper divisors (16806684153030).

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

10510345060410 is a wasteful number, since it uses less digits than its factorization.

10510345060410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195112 (or 195099 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 10510345060410 its reverse (1406054301501), we get a palindrome (11916399361911).

The spelling of 10510345060410 in words is "ten trillion, five hundred ten billion, three hundred forty-five million, sixty thousand, four hundred ten".