103232102400 has 1260 divisors, whose sum is σ = 448358410368. Its totient is φ = 23410114560.

The previous prime is 103232102341. The next prime is 103232102423. The reversal of 103232102400 is 4201232301.

103232102400 is a `hidden beast` number, since 103 + 2 + 321 + 0 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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 polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 812851137 + ... + 812851263.

Almost surely, 2^103232102400 is an apocalyptic number.

103232102400 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 103232102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224179205184).

103232102400 is an abundant number, since it is smaller than the sum of its proper divisors (345126307968).

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

103232102400 is an equidigital number, since it uses as much as digits as its factorization.

103232102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 144 counting only the distinct ones).

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

Adding to 103232102400 its reverse (4201232301), we get a palindrome (107433334701).

The spelling of 103232102400 in words is "one hundred three billion, two hundred thirty-two million, one hundred two thousand, four hundred".