103113210400 has 72 divisors (see below), whose sum is σ = 251904072420. Its totient is φ = 41215964160.

The previous prime is 103113210397. The next prime is 103113210407. The reversal of 103113210400 is 4012311301.

It can be written as a sum of positive squares in 6 ways, for example, as 16693673616 + 86419536784 = 129204^2 + 293972^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (103113210407) 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 11 ways as a sum of consecutive naturals, for example, 1098102 + ... + 1188298.

Almost surely, 2^103113210400 is an apocalyptic number.

103113210400 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 103113210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125952036210).

103113210400 is an abundant number, since it is smaller than the sum of its proper divisors (148790862020).

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

103113210400 is a wasteful number, since it uses less digits than its factorization.

103113210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91646 (or 91633 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103113210400 its reverse (4012311301), we get a palindrome (107125521701).

The spelling of 103113210400 in words is "one hundred three billion, one hundred thirteen million, two hundred ten thousand, four hundred".