103229708426208 has 1920 divisors, whose sum is σ = 388994006016000. Its totient is φ = 26680361250816.

The previous prime is 103229708426177. The next prime is 103229708426279. The reversal of 103229708426208 is 802624807922301.

103229708426208 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 9 + 7 + 0 + 8 + 4 + 2 + 620 + 8 = 666.

103229708426208 is digitally balanced in base 4 and base 8, because in such bases 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 152481105166 + ... + 152481105842.

It is an arithmetic number, because the mean of its divisors is an integer number (202601044800).

Almost surely, 2^{103229708426208} is an apocalyptic number.

103229708426208 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 103229708426208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194497003008000).

103229708426208 is an abundant number, since it is smaller than the sum of its proper divisors (285764297589792).

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

103229708426208 is a wasteful number, since it uses less digits than its factorization.

103229708426208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 103229708426208 in words is "one hundred three trillion, two hundred twenty-nine billion, seven hundred eight million, four hundred twenty-six thousand, two hundred eight".