103940222400 has 1512 divisors, whose sum is σ = 463503324960. Its totient is φ = 21598617600.

The previous prime is 103940222389. The next prime is 103940222411. The reversal of 103940222400 is 4222049301.

103940222400 is a `hidden beast` number, since 1 + 0 + 39 + 4 + 0 + 222 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (103940222389) and next prime (103940222411).

It is a super-3 number, since 3×103940222400³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 215 ways as a sum of consecutive naturals, for example, 2809195182 + ... + 2809195218.

Almost surely, 2^103940222400 is an apocalyptic number.

103940222400 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 103940222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231751662480).

103940222400 is an abundant number, since it is smaller than the sum of its proper divisors (359563102560).

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

103940222400 is a wasteful number, since it uses less digits than its factorization.

103940222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 103940222400 in words is "one hundred three billion, nine hundred forty million, two hundred twenty-two thousand, four hundred".