103264490953728 has 264 divisors, whose sum is σ = 333003425945008. Its totient is φ = 31773688528896.

The previous prime is 103264490953649. The next prime is 103264490953739. The reversal of 103264490953728 is 827359094462301.

103264490953728 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 6 + 4 + 4 + 90 + 9 + 537 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12726601 + ... + 19196232.

It is a 1-persistent number, because it is pandigital, but 2⋅103264490953728 = 206528981907456 is not.

Almost surely, 2^{103264490953728} is an apocalyptic number.

103264490953728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103264490953728 is an abundant number, since it is smaller than the sum of its proper divisors (229738934991280).

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

103264490953728 is an equidigital number, since it uses as much as digits as its factorization.

103264490953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31922881 (or 31922851 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 103264490953728 in words is "one hundred three trillion, two hundred sixty-four billion, four hundred ninety million, nine hundred fifty-three thousand, seven hundred twenty-eight".