103349930400 has 576 divisors, whose sum is σ = 381991800960. Its totient is φ = 26962329600.

The previous prime is 103349930377. The next prime is 103349930401. The reversal of 103349930400 is 4039943301.

103349930400 is a `hidden beast` number, since 1 + 0 + 3 + 349 + 9 + 304 + 0 + 0 = 666.

It is a super-2 number, since 2×103349930400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103349930401) 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, 224186170 + ... + 224186630.

It is an arithmetic number, because the mean of its divisors is an integer number (663180210).

Almost surely, 2^103349930400 is an apocalyptic number.

103349930400 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 103349930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190995900480).

103349930400 is an abundant number, since it is smaller than the sum of its proper divisors (278641870560).

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

103349930400 is a wasteful number, since it uses less digits than its factorization.

103349930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 103349930400 in words is "one hundred three billion, three hundred forty-nine million, nine hundred thirty thousand, four hundred".