103530076160 has 192 divisors, whose sum is σ = 300602352960. Its totient is φ = 33407631360.

The previous prime is 103530076079. The next prime is 103530076207. The reversal of 103530076160 is 61670035301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1176080 + ... + 1261040.

It is an arithmetic number, because the mean of its divisors is an integer number (1565637255).

Almost surely, 2^103530076160 is an apocalyptic number.

103530076160 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 103530076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150301176480).

103530076160 is an abundant number, since it is smaller than the sum of its proper divisors (197072276800).

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

103530076160 is an equidigital number, since it uses as much as digits as its factorization.

103530076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85012 (or 84992 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The spelling of 103530076160 in words is "one hundred three billion, five hundred thirty million, seventy-six thousand, one hundred sixty".