103099721760 has 576 divisors, whose sum is σ = 416672605440. Its totient is φ = 22724444160.

The previous prime is 103099721759. The next prime is 103099721761. The reversal of 103099721760 is 67127990301.

It is an interprime number because it is at equal distance from previous prime (103099721759) and next prime (103099721761).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103099721761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36780519 + ... + 36783321.

It is an arithmetic number, because the mean of its divisors is an integer number (723389940).

Almost surely, 2^103099721760 is an apocalyptic number.

103099721760 is a gapful number since it is divisible by the number (10) 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 103099721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208336302720).

103099721760 is an abundant number, since it is smaller than the sum of its proper divisors (313572883680).

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

103099721760 is a wasteful number, since it uses less digits than its factorization.

103099721760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 103099721760 in words is "one hundred three billion, ninety-nine million, seven hundred twenty-one thousand, seven hundred sixty".