106543122400 has 288 divisors, whose sum is σ = 308629058976. Its totient is φ = 35404800000.

The previous prime is 106543122373. The next prime is 106543122407. The reversal of 106543122400 is 4221345601.

It is a super-2 number, since 2×106543122400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106543122407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11549790 + ... + 11559010.

It is an arithmetic number, because the mean of its divisors is an integer number (1071628677).

Almost surely, 2^106543122400 is an apocalyptic number.

106543122400 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 106543122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154314529488).

106543122400 is an abundant number, since it is smaller than the sum of its proper divisors (202085936576).

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

106543122400 is a wasteful number, since it uses less digits than its factorization.

106543122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9366 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 106543122400 in words is "one hundred six billion, five hundred forty-three million, one hundred twenty-two thousand, four hundred".