103420848999168 has 360 divisors, whose sum is σ = 318546244469376. Its totient is φ = 33338909491200.

The previous prime is 103420848999131. The next prime is 103420848999241. The reversal of 103420848999168 is 861999848024301.

103420848999168 is a `hidden beast` number, since 1 + 0 + 3 + 42 + 0 + 8 + 489 + 99 + 16 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103420848999096 and 103420848999105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 959670408 + ... + 959778168.

Almost surely, 2^{103420848999168} is an apocalyptic number.

103420848999168 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 103420848999168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159273122234688).

103420848999168 is an abundant number, since it is smaller than the sum of its proper divisors (215125395470208).

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

103420848999168 is a wasteful number, since it uses less digits than its factorization.

103420848999168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109313 (or 109290 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 103420848999168 in words is "one hundred three trillion, four hundred twenty billion, eight hundred forty-eight million, nine hundred ninety-nine thousand, one hundred sixty-eight".