103120445550400 has 84 divisors (see below), whose sum is σ = 256253031351180. Its totient is φ = 40839780352000.

The previous prime is 103120445550383. The next prime is 103120445550401. The reversal of 103120445550400 is 4055544021301.

It can be written as a sum of positive squares in 6 ways, for example, as 1559521420864 + 101560924129536 = 1248808^2 + 10077744^2 .

It is a super-2 number, since 2×103120445550400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103120445550401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318899185 + ... + 319222384.

Almost surely, 2^{103120445550400} is an apocalyptic number.

103120445550400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103120445550400 is an abundant number, since it is smaller than the sum of its proper divisors (153132585800780).

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

103120445550400 is a wasteful number, since it uses less digits than its factorization.

103120445550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638121692 (or 638121677 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 103120445550400 its reverse (4055544021301), we get a palindrome (107175989571701).

The spelling of 103120445550400 in words is "one hundred three trillion, one hundred twenty billion, four hundred forty-five million, five hundred fifty thousand, four hundred".