103459793293728 has 360 divisors, whose sum is σ = 319291168176288. Its totient is φ = 32802288913152.

The previous prime is 103459793293711. The next prime is 103459793293763. The reversal of 103459793293728 is 827392397954301.

103459793293728 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 597 + 9 + 3 + 2 + 9 + 3 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1910129175 + ... + 1910183337.

Almost surely, 2^{103459793293728} is an apocalyptic number.

103459793293728 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 103459793293728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159645584088144).

103459793293728 is an abundant number, since it is smaller than the sum of its proper divisors (215831374882560).

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

103459793293728 is an equidigital number, since it uses as much as digits as its factorization.

103459793293728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54566 (or 54370 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 103459793293728 in words is "one hundred three trillion, four hundred fifty-nine billion, seven hundred ninety-three million, two hundred ninety-three thousand, seven hundred twenty-eight".