10104615360 has 672 divisors, whose sum is σ = 41510102400. Its totient is φ = 2254307328.

The previous prime is 10104615343. The next prime is 10104615361. The reversal of 10104615360 is 6351640101.

10104615360 is a `hidden beast` number, since 1 + 0 + 10 + 4 + 615 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104615361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52355424 + ... + 52355616.

Almost surely, 2^10104615360 is an apocalyptic number.

10104615360 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 10104615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20755051200).

10104615360 is an abundant number, since it is smaller than the sum of its proper divisors (31405487040).

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

10104615360 is a wasteful number, since it uses less digits than its factorization.

10104615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 263 counting only the distinct ones).

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

The spelling of 10104615360 in words is "ten billion, one hundred four million, six hundred fifteen thousand, three hundred sixty".