10161601056 has 36 divisors (see below), whose sum is σ = 28897053822. Its totient is φ = 3387200256.

The previous prime is 10161600979. The next prime is 10161601057. The reversal of 10161601056 is 65010616101.

10161601056 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 601 + 0 + 56 = 666.

10161601056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8442669456 + 1718931600 = 91884^2 + 41460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (10161601057) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17641381 + ... + 17641956.

Almost surely, 2^10161601056 is an apocalyptic number.

10161601056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10161601056 is an abundant number, since it is smaller than the sum of its proper divisors (18735452766).

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

10161601056 is a wasteful number, since it uses less digits than its factorization.

10161601056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35283353 (or 35283342 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10161601056 in words is "ten billion, one hundred sixty-one million, six hundred one thousand, fifty-six".