10145722587 has 288 divisors, whose sum is σ = 20632449600. Its totient is φ = 4371333120.

The previous prime is 10145722567. The next prime is 10145722589. The reversal of 10145722587 is 78522754101.

It is not a de Polignac number, because 10145722587 - 2⁸ = 10145722331 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145722589) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 113996839 + ... + 113996927.

It is an arithmetic number, because the mean of its divisors is an integer number (71640450).

Almost surely, 2^10145722587 is an apocalyptic number.

10145722587 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10145722587 is an abundant number, since it is smaller than the sum of its proper divisors (10486727013).

10145722587 is a wasteful number, since it uses less digits than its factorization.

10145722587 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 10145722587 in words is "ten billion, one hundred forty-five million, seven hundred twenty-two thousand, five hundred eighty-seven".