10381615104 has 336 divisors, whose sum is σ = 33214501008. Its totient is φ = 2873622528.

The previous prime is 10381615091. The next prime is 10381615157. The reversal of 10381615104 is 40151618301.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44556172 + ... + 44556404.

Almost surely, 2^10381615104 is an apocalyptic number.

10381615104 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 10381615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16607250504).

10381615104 is an abundant number, since it is smaller than the sum of its proper divisors (22832885904).

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

10381615104 is an equidigital number, since it uses as much as digits as its factorization.

10381615104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 10381615104 in words is "ten billion, three hundred eighty-one million, six hundred fifteen thousand, one hundred four".