10106875530 has 48 divisors (see below), whose sum is σ = 27823638024. Its totient is φ = 2536627200.

The previous prime is 10106875517. The next prime is 10106875543. The reversal of 10106875530 is 3557860101.

10106875530 is a `hidden beast` number, since 10 + 10 + 6 + 87 + 553 + 0 = 666.

10106875530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10106875517) and next prime (10106875543).

It can be written as a sum of positive squares in 4 ways, for example, as 9978211881 + 128663649 = 99891^2 + 11343^2 .

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 23 ways as a sum of consecutive naturals, for example, 3301371 + ... + 3304430.

Almost surely, 2^10106875530 is an apocalyptic number.

10106875530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10106875530 is an abundant number, since it is smaller than the sum of its proper divisors (17716762494).

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

10106875530 is a wasteful number, since it uses less digits than its factorization.

10106875530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605831 (or 6605828 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10106875530 in words is "ten billion, one hundred six million, eight hundred seventy-five thousand, five hundred thirty".