10403084160 has 1152 divisors, whose sum is σ = 45711993600. Its totient is φ = 2167603200.

The previous prime is 10403084141. The next prime is 10403084173. The reversal of 10403084160 is 6148030401.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 253733740 + ... + 253733780.

It is an arithmetic number, because the mean of its divisors is an integer number (39680550).

Almost surely, 2^10403084160 is an apocalyptic number.

10403084160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10403084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855996800).

10403084160 is an abundant number, since it is smaller than the sum of its proper divisors (35308909440).

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

10403084160 is a wasteful number, since it uses less digits than its factorization.

10403084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10403084160 in words is "ten billion, four hundred three million, eighty-four thousand, one hundred sixty".