106349443200 has 3456 divisors, whose sum is σ = 566828720640. Its totient is φ = 18579456000.

The previous prime is 106349443199. The next prime is 106349443267. The reversal of 106349443200 is 2344943601.

It is a happy number.

106349443200 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 4 + 9 + 443 + 200 = 666.

It is a super-2 number, since 2×106349443200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3430627185 + ... + 3430627215.

It is an arithmetic number, because the mean of its divisors is an integer number (164012940).

Almost surely, 2^106349443200 is an apocalyptic number.

106349443200 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 106349443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283414360320).

106349443200 is an abundant number, since it is smaller than the sum of its proper divisors (460479277440).

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

106349443200 is a wasteful number, since it uses less digits than its factorization.

106349443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 106349443200 in words is "one hundred six billion, three hundred forty-nine million, four hundred forty-three thousand, two hundred".