10145355016420 has 24 divisors (see below), whose sum is σ = 22944110576184. Its totient is φ = 3745977236736.

The previous prime is 10145355016397. The next prime is 10145355016453. The reversal of 10145355016420 is 2461055354101.

It can be written as a sum of positive squares in 4 ways, for example, as 14668116544 + 10130686899876 = 121112^2 + 3182874^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10145355016420.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19510297849 + ... + 19510298368.

It is an arithmetic number, because the mean of its divisors is an integer number (956004607341).

Almost surely, 2^{10145355016420} is an apocalyptic number.

10145355016420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145355016420 is an abundant number, since it is smaller than the sum of its proper divisors (12798755559764).

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

10145355016420 is a wasteful number, since it uses less digits than its factorization.

10145355016420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39020596239 (or 39020596237 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 10145355016420 in words is "ten trillion, one hundred forty-five billion, three hundred fifty-five million, sixteen thousand, four hundred twenty".