10145035125 has 48 divisors (see below), whose sum is σ = 18303470640. Its totient is φ = 5406144000.

The previous prime is 10145035091. The next prime is 10145035139. The reversal of 10145035125 is 52153054101.

10145035125 is a `hidden beast` number, since 1 + 0 + 145 + 0 + 3 + 512 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5090251716 + 5054783409 = 71346^2 + 71097^2 .

It is not a de Polignac number, because 10145035125 - 2¹⁰ = 10145034101 is a prime.

It is a super-4 number, since 4×10145035125⁴ (a number of 41 digits) contains 4444 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 47 ways as a sum of consecutive naturals, for example, 1663081 + ... + 1669169.

It is an arithmetic number, because the mean of its divisors is an integer number (381322305).

Almost surely, 2^10145035125 is an apocalyptic number.

10145035125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10145035125 is a deficient number, since it is larger than the sum of its proper divisors (8158435515).

10145035125 is a wasteful number, since it uses less digits than its factorization.

10145035125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 10145035125 its reverse (52153054101), we get a palindrome (62298089226).

The spelling of 10145035125 in words is "ten billion, one hundred forty-five million, thirty-five thousand, one hundred twenty-five".