10145050553300 has 72 divisors (see below), whose sum is σ = 23710196809656. Its totient is φ = 3745549762560.

The previous prime is 10145050553279. The next prime is 10145050553321. The reversal of 10145050553300 is 335505054101.

It is an interprime number because it is at equal distance from previous prime (10145050553279) and next prime (10145050553321).

It can be written as a sum of positive squares in 12 ways, for example, as 8860695262864 + 1284355290436 = 2976692^2 + 1133294^2 .

It is a super-2 number, since 2×10145050553300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15424772 + ... + 16069028.

It is an arithmetic number, because the mean of its divisors is an integer number (329308289023).

Almost surely, 2^{10145050553300} is an apocalyptic number.

10145050553300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145050553300 is an abundant number, since it is smaller than the sum of its proper divisors (13565146256356).

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

10145050553300 is a wasteful number, since it uses less digits than its factorization.

10145050553300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656397 (or 656390 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 10145050553300 in words is "ten trillion, one hundred forty-five billion, fifty million, five hundred fifty-three thousand, three hundred".