10416257306 has 128 divisors (see below), whose sum is σ = 21203804160. Its totient is φ = 3721116672.

The previous prime is 10416257287. The next prime is 10416257347. The reversal of 10416257306 is 60375261401.

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 63 ways as a sum of consecutive naturals, for example, 7848815 + ... + 7850141.

It is an arithmetic number, because the mean of its divisors is an integer number (165654720).

Almost surely, 2^10416257306 is an apocalyptic number.

10416257306 is an abundant number, since it is smaller than the sum of its proper divisors (10787546854).

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

10416257306 is a wasteful number, since it uses less digits than its factorization.

10416257306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468.

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 10416257306 in words is "ten billion, four hundred sixteen million, two hundred fifty-seven thousand, three hundred six".