103814954208 has 192 divisors, whose sum is σ = 346218001920. Its totient is φ = 29647005696.

The previous prime is 103814954197. The next prime is 103814954209. The reversal of 103814954208 is 802459418301.

103814954208 is a `hidden beast` number, since 10 + 381 + 4 + 9 + 54 + 208 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103814954209) 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 31 ways as a sum of consecutive naturals, for example, 22357135 + ... + 22361777.

It is an arithmetic number, because the mean of its divisors is an integer number (1803218760).

Almost surely, 2^103814954208 is an apocalyptic number.

103814954208 is a gapful number since it is divisible by the number (18) 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 103814954208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173109000960).

103814954208 is an abundant number, since it is smaller than the sum of its proper divisors (242403047712).

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

103814954208 is a wasteful number, since it uses less digits than its factorization.

103814954208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 103814954208 in words is "one hundred three billion, eight hundred fourteen million, nine hundred fifty-four thousand, two hundred eight".