10205500157307 has 96 divisors (see below), whose sum is σ = 18308008642560. Its totient is φ = 5334370214400.

The previous prime is 10205500157249. The next prime is 10205500157327. The reversal of 10205500157307 is 70375100550201.

It is a happy number.

10205500157307 is a `hidden beast` number, since 1 + 0 + 20 + 550 + 0 + 1 + 57 + 30 + 7 = 666.

10205500157307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10205500157307 - 2³⁸ = 9930622250363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10205500157327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50479738 + ... + 50681504.

It is an arithmetic number, because the mean of its divisors is an integer number (190708423360).

Almost surely, 2^{10205500157307} is an apocalyptic number.

10205500157307 is a deficient number, since it is larger than the sum of its proper divisors (8102508485253).

10205500157307 is a wasteful number, since it uses less digits than its factorization.

10205500157307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202353 (or 202350 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The spelling of 10205500157307 in words is "ten trillion, two hundred five billion, five hundred million, one hundred fifty-seven thousand, three hundred seven".