106360128000 has 960 divisors, whose sum is σ = 454496410368. Its totient is φ = 24286003200.

The previous prime is 106360127953. The next prime is 106360128011. The reversal of 106360128000 is 821063601.

106360128000 is a `hidden beast` number, since 1 + 0 + 636 + 0 + 1 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×106360128000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 108863512 + ... + 108864488.

Almost surely, 2^106360128000 is an apocalyptic number.

106360128000 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 106360128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227248205184).

106360128000 is an abundant number, since it is smaller than the sum of its proper divisors (348136282368).

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

106360128000 is an frugal number, since it uses more digits than its factorization.

106360128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 106360128000 in words is "one hundred six billion, three hundred sixty million, one hundred twenty-eight thousand".