10109905460 has 48 divisors (see below), whose sum is σ = 21806088192. Its totient is φ = 3934905600.

The previous prime is 10109905459. The next prime is 10109905469. The reversal of 10109905460 is 6450990101.

It is a self number, because there is not a number n which added to its sum of digits gives 10109905460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10109905469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297965 + ... + 330155.

It is an arithmetic number, because the mean of its divisors is an integer number (454293504).

Almost surely, 2^10109905460 is an apocalyptic number.

10109905460 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 10109905460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10903044096).

10109905460 is an abundant number, since it is smaller than the sum of its proper divisors (11696182732).

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

10109905460 is a wasteful number, since it uses less digits than its factorization.

10109905460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32624 (or 32622 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 10109905460 in words is "ten billion, one hundred nine million, nine hundred five thousand, four hundred sixty".