106442122400 has 144 divisors (see below), whose sum is σ = 263057100768. Its totient is φ = 42053760000.

The previous prime is 106442122399. The next prime is 106442122429. The reversal of 106442122400 is 4221244601.

It is a super-2 number, since 2×106442122400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106442122400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39671459 + ... + 39674141.

It is an arithmetic number, because the mean of its divisors is an integer number (1826785422).

Almost surely, 2^106442122400 is an apocalyptic number.

106442122400 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 106442122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131528550384).

106442122400 is an abundant number, since it is smaller than the sum of its proper divisors (156614978368).

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

106442122400 is a wasteful number, since it uses less digits than its factorization.

106442122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The spelling of 106442122400 in words is "one hundred six billion, four hundred forty-two million, one hundred twenty-two thousand, four hundred".