103322012400 has 150 divisors (see below), whose sum is σ = 370814527512. Its totient is φ = 27552528000.

The previous prime is 103322012393. The next prime is 103322012441. The reversal of 103322012400 is 4210223301.

103322012400 is a `hidden beast` number, since 1 + 0 + 33 + 220 + 12 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 1562076 + ... + 1626875.

Almost surely, 2^103322012400 is an apocalyptic number.

103322012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103322012400 is an abundant number, since it is smaller than the sum of its proper divisors (267492515112).

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

103322012400 is a wasteful number, since it uses less digits than its factorization.

103322012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188981 (or 3188961 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103322012400 its reverse (4210223301), we get a palindrome (107532235701).

The spelling of 103322012400 in words is "one hundred three billion, three hundred twenty-two million, twelve thousand, four hundred".