106898227200 has 672 divisors, whose sum is σ = 399694032900. Its totient is φ = 28346941440.

The previous prime is 106898227157. The next prime is 106898227231. The reversal of 106898227200 is 2722898601.

It is a super-2 number, since 2×106898227200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 597196711 + ... + 597196889.

Almost surely, 2^106898227200 is an apocalyptic number.

106898227200 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 106898227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199847016450).

106898227200 is an abundant number, since it is smaller than the sum of its proper divisors (292795805700).

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

106898227200 is an frugal number, since it uses more digits than its factorization.

106898227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 106898227200 in words is "one hundred six billion, eight hundred ninety-eight million, two hundred twenty-seven thousand, two hundred".