103280949116928 has 1200 divisors, whose sum is σ = 343573300401408. Its totient is φ = 30656102400000.

The previous prime is 103280949116921. The next prime is 103280949116953. The reversal of 103280949116928 is 829611949082301.

103280949116928 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 80 + 9 + 491 + 1 + 69 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (103280949116921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 260153524026 + ... + 260153524422.

Almost surely, 2^{103280949116928} is an apocalyptic number.

103280949116928 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 103280949116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171786650200704).

103280949116928 is an abundant number, since it is smaller than the sum of its proper divisors (240292351284480).

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

103280949116928 is an equidigital number, since it uses as much as digits as its factorization.

103280949116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 103280949116928 in words is "one hundred three trillion, two hundred eighty billion, nine hundred forty-nine million, one hundred sixteen thousand, nine hundred twenty-eight".