104235711740160 has 1152 divisors, whose sum is σ = 447166271139840. Its totient is φ = 19984682188800.

The previous prime is 104235711740131. The next prime is 104235711740161. The reversal of 104235711740160 is 61047117532401.

It is a happy number.

104235711740160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (104235711740161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12381004431 + ... + 12381012849.

It is an arithmetic number, because the mean of its divisors is an integer number (388165165920).

Almost surely, 2^{104235711740160} is an apocalyptic number.

104235711740160 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 104235711740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223583135569920).

104235711740160 is an abundant number, since it is smaller than the sum of its proper divisors (342930559399680).

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

104235711740160 is a wasteful number, since it uses less digits than its factorization.

104235711740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11695 (or 11681 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 104235711740160 in words is "one hundred four trillion, two hundred thirty-five billion, seven hundred eleven million, seven hundred forty thousand, one hundred sixty".