104106636144 has 120 divisors (see below), whose sum is σ = 335211208800. Its totient is φ = 29545081344.

The previous prime is 104106636131. The next prime is 104106636157. The reversal of 104106636144 is 441636601401.

104106636144 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 0 + 6 + 636 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (104106636131) and next prime (104106636157).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104106636099 and 104106636108.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 196387 + ... + 496770.

It is an arithmetic number, because the mean of its divisors is an integer number (2793426740).

Almost surely, 2^104106636144 is an apocalyptic number.

104106636144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104106636144 is an abundant number, since it is smaller than the sum of its proper divisors (231104572656).

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

104106636144 is a wasteful number, since it uses less digits than its factorization.

104106636144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693327 (or 693318 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 104106636144 in words is "one hundred four billion, one hundred six million, six hundred thirty-six thousand, one hundred forty-four".