104351636211144 has 128 divisors (see below), whose sum is σ = 315798835795200. Its totient is φ = 28050880757760.

The previous prime is 104351636211131. The next prime is 104351636211149. The reversal of 104351636211144 is 441112636153401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104351636211096 and 104351636211105.

It is not an unprimeable number, because it can be changed into a prime (104351636211149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415064 + ... + 14515704.

It is an arithmetic number, because the mean of its divisors is an integer number (2467178404650).

Almost surely, 2^{104351636211144} is an apocalyptic number.

104351636211144 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 104351636211144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157899417897600).

104351636211144 is an abundant number, since it is smaller than the sum of its proper divisors (211447199584056).

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

104351636211144 is a wasteful number, since it uses less digits than its factorization.

104351636211144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13103463 (or 13103459 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 104351636211144 in words is "one hundred four trillion, three hundred fifty-one billion, six hundred thirty-six million, two hundred eleven thousand, one hundred forty-four".