104105330040150 has 864 divisors, whose sum is σ = 312502041446400. Its totient is φ = 25723822924800.

The previous prime is 104105330040109. The next prime is 104105330040181. The reversal of 104105330040150 is 51040033501401.

It is a happy number.

104105330040150 is a `hidden beast` number, since 1 + 0 + 41 + 0 + 533 + 0 + 0 + 40 + 1 + 50 = 666.

It is a super-2 number, since 2×104105330040150² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 55641543715 + ... + 55641545585.

It is an arithmetic number, because the mean of its divisors is an integer number (361692177600).

Almost surely, 2^{104105330040150} is an apocalyptic number.

104105330040150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104105330040150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156251020723200).

104105330040150 is an abundant number, since it is smaller than the sum of its proper divisors (208396711406250).

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

104105330040150 is a wasteful number, since it uses less digits than its factorization.

104105330040150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 104105330040150 its reverse (51040033501401), we get a palindrome (155145363541551).

The spelling of 104105330040150 in words is "one hundred four trillion, one hundred five billion, three hundred thirty million, forty thousand, one hundred fifty".