10205070075 has 36 divisors (see below), whose sum is σ = 18284664528. Its totient is φ = 5440843200.

The previous prime is 10205070067. The next prime is 10205070103. The reversal of 10205070075 is 57007050201.

10205070075 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10205070075 - 2³ = 10205070067 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874177 + ... + 885773.

It is an arithmetic number, because the mean of its divisors is an integer number (507907348).

Almost surely, 2^10205070075 is an apocalyptic number.

10205070075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10205070075 is a deficient number, since it is larger than the sum of its proper divisors (8079594453).

10205070075 is a wasteful number, since it uses less digits than its factorization.

10205070075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15524 (or 15516 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The spelling of 10205070075 in words is "ten billion, two hundred five million, seventy thousand, seventy-five".