103355998704 has 420 divisors, whose sum is σ = 352043014680. Its totient is φ = 29295302400.

The previous prime is 103355998687. The next prime is 103355998709. The reversal of 103355998704 is 407899553301.

103355998704 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 559 + 9 + 87 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103355998709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 79442854 + ... + 79444154.

It is an arithmetic number, because the mean of its divisors is an integer number (838197654).

Almost surely, 2^103355998704 is an apocalyptic number.

103355998704 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 103355998704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176021507340).

103355998704 is an abundant number, since it is smaller than the sum of its proper divisors (248687015976).

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

103355998704 is a wasteful number, since it uses less digits than its factorization.

103355998704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 103355998704 in words is "one hundred three billion, three hundred fifty-five million, nine hundred ninety-eight thousand, seven hundred four".