106447436550 has 384 divisors, whose sum is σ = 363376742400. Its totient is φ = 22312143360.

The previous prime is 106447436539. The next prime is 106447436629. The reversal of 106447436550 is 55634744601.

106447436550 is a `hidden beast` number, since 1 + 0 + 64 + 4 + 7 + 4 + 36 + 550 = 666.

It is a super-2 number, since 2×106447436550² (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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106447436496 and 106447436505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19284691 + ... + 19290209.

It is an arithmetic number, because the mean of its divisors is an integer number (946293600).

Almost surely, 2^106447436550 is an apocalyptic number.

106447436550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106447436550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181688371200).

106447436550 is an abundant number, since it is smaller than the sum of its proper divisors (256929305850).

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

106447436550 is a wasteful number, since it uses less digits than its factorization.

106447436550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 106447436550 in words is "one hundred six billion, four hundred forty-seven million, four hundred thirty-six thousand, five hundred fifty".