10005610014 has 48 divisors (see below), whose sum is σ = 21802912560. Its totient is φ = 3316158720.

The previous prime is 10005609997. The next prime is 10005610031. The reversal of 10005610014 is 41001650001.

10005610014 is a `hidden beast` number, since 100 + 0 + 561 + 0 + 0 + 1 + 4 = 666.

10005610014 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 (10005609997) and next prime (10005610031).

It is a super-2 number, since 2×10005610014² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

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, 3586132 + ... + 3588920.

It is an arithmetic number, because the mean of its divisors is an integer number (454227345).

Almost surely, 2^10005610014 is an apocalyptic number.

10005610014 is an abundant number, since it is smaller than the sum of its proper divisors (11797302546).

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

10005610014 is a wasteful number, since it uses less digits than its factorization.

10005610014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 10005610014 in words is "ten billion, five million, six hundred ten thousand, fourteen".