103220081779584 has 1152 divisors, whose sum is σ = 374090546188800. Its totient is φ = 25050634076160.

The previous prime is 103220081779571. The next prime is 103220081779601. The reversal of 103220081779584 is 485977180022301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3157816489 + ... + 3157849175.

It is an arithmetic number, because the mean of its divisors is an integer number (324731376900).

Almost surely, 2^{103220081779584} is an apocalyptic number.

103220081779584 is a gapful number since it is divisible by the number (14) 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 103220081779584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187045273094400).

103220081779584 is an abundant number, since it is smaller than the sum of its proper divisors (270870464409216).

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

103220081779584 is a wasteful number, since it uses less digits than its factorization.

103220081779584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32832 (or 32802 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 103220081779584 in words is "one hundred three trillion, two hundred twenty billion, eighty-one million, seven hundred seventy-nine thousand, five hundred eighty-four".