106455746304 has 324 divisors, whose sum is σ = 326496807000. Its totient is φ = 33353109504.

The previous prime is 106455746281. The next prime is 106455746377. The reversal of 106455746304 is 403647554601.

106455746304 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 5 + 7 + 4 + 630 + 4 = 666.

It is a super-3 number, since 3×106455746304³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106455746304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123929427 + ... + 123930285.

Almost surely, 2^106455746304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106455746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163248403500).

106455746304 is an abundant number, since it is smaller than the sum of its proper divisors (220041060696).

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

106455746304 is a wasteful number, since it uses less digits than its factorization.

106455746304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1032 counting only the distinct ones).

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

The spelling of 106455746304 in words is "one hundred six billion, four hundred fifty-five million, seven hundred forty-six thousand, three hundred four".