10401306146 has 96 divisors (see below), whose sum is σ = 21876158592. Its totient is φ = 3648099840.

The previous prime is 10401306131. The next prime is 10401306229. The reversal of 10401306146 is 64160310401.

10401306146 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409160 + ... + 433836.

It is an arithmetic number, because the mean of its divisors is an integer number (227876652).

Almost surely, 2^10401306146 is an apocalyptic number.

10401306146 is an abundant number, since it is smaller than the sum of its proper divisors (11474852446).

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

10401306146 is a wasteful number, since it uses less digits than its factorization.

10401306146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24744 (or 24737 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 10401306146 its reverse (64160310401), we get a palindrome (74561616547).

The spelling of 10401306146 in words is "ten billion, four hundred one million, three hundred six thousand, one hundred forty-six".