103005600221400 has 192 divisors, whose sum is σ = 338128207829280. Its totient is φ = 25850285260800.

The previous prime is 103005600221371. The next prime is 103005600221413. The reversal of 103005600221400 is 4122006500301.

103005600221400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103005600221400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127065360 + ... + 127873440.

Almost surely, 2^{103005600221400} is an apocalyptic number.

103005600221400 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 103005600221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169064103914640).

103005600221400 is an abundant number, since it is smaller than the sum of its proper divisors (235122607607880).

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

103005600221400 is a wasteful number, since it uses less digits than its factorization.

103005600221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820614 (or 820605 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 103005600221400 its reverse (4122006500301), we get a palindrome (107127606721701).

The spelling of 103005600221400 in words is "one hundred three trillion, five billion, six hundred million, two hundred twenty-one thousand, four hundred".