10205070051 has 32 divisors (see below), whose sum is σ = 15308144640. Its totient is φ = 5994346400.

The previous prime is 10205069999. The next prime is 10205070053. The reversal of 10205070051 is 15007050201.

10205070051 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10205070051 - 2¹⁰ = 10205069027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10205070053) 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, 101326 + ... + 175148.

It is an arithmetic number, because the mean of its divisors is an integer number (478379520).

Almost surely, 2^10205070051 is an apocalyptic number.

10205070051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10205070051 is a deficient number, since it is larger than the sum of its proper divisors (5103074589).

10205070051 is a wasteful number, since it uses less digits than its factorization.

10205070051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73967.

The product of its (nonzero) digits is 350, while the sum is 21.

The spelling of 10205070051 in words is "ten billion, two hundred five million, seventy thousand, fifty-one".