106074227200 has 120 divisors (see below), whose sum is σ = 266510977920. Its totient is φ = 41831731200.

The previous prime is 106074227107. The next prime is 106074227201. The reversal of 106074227200 is 2722470601.

It is a super-2 number, since 2×106074227200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106074227201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 850441 + ... + 967159.

It is an arithmetic number, because the mean of its divisors is an integer number (2220924816).

Almost surely, 2^106074227200 is an apocalyptic number.

106074227200 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 106074227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133255488960).

106074227200 is an abundant number, since it is smaller than the sum of its proper divisors (160436750720).

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

106074227200 is an equidigital number, since it uses as much as digits as its factorization.

106074227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116818 (or 116797 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

Adding to 106074227200 its reverse (2722470601), we get a palindrome (108796697801).

The spelling of 106074227200 in words is "one hundred six billion, seventy-four million, two hundred twenty-seven thousand, two hundred".