10145024556303 has 32 divisors (see below), whose sum is σ = 16648422525952. Its totient is φ = 5351164819200.

The previous prime is 10145024556187. The next prime is 10145024556371. The reversal of 10145024556303 is 30365542054101.

It is a happy number.

10145024556303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10145024556303 - 2¹⁰ = 10145024555279 is a prime.

It is a super-4 number, since 4×10145024556303⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145024516303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41918883 + ... + 42160203.

It is an arithmetic number, because the mean of its divisors is an integer number (520263203936).

Almost surely, 2^{10145024556303} is an apocalyptic number.

10145024556303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10145024556303 is a deficient number, since it is larger than the sum of its proper divisors (6503397969649).

10145024556303 is a wasteful number, since it uses less digits than its factorization.

10145024556303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395335.

The product of its (nonzero) digits is 216000, while the sum is 39.

It can be divided in two parts, 101450 and 24556303, that added together give a triangular number (24657753 = T₇₀₂₂).

The spelling of 10145024556303 in words is "ten trillion, one hundred forty-five billion, twenty-four million, five hundred fifty-six thousand, three hundred three".