10105490304 has 576 divisors, whose sum is σ = 37331461440. Its totient is φ = 2599575552.

The previous prime is 10105490261. The next prime is 10105490333. The reversal of 10105490304 is 40309450101.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×10105490304³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34489582 + ... + 34489874.

It is an arithmetic number, because the mean of its divisors is an integer number (64811565).

Almost surely, 2^10105490304 is an apocalyptic number.

10105490304 is a gapful number since it is divisible by the number (14) 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 10105490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665730720).

10105490304 is an abundant number, since it is smaller than the sum of its proper divisors (27225971136).

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

10105490304 is a wasteful number, since it uses less digits than its factorization.

10105490304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10105490304 in words is "ten billion, one hundred five million, four hundred ninety thousand, three hundred four".