106305696000 has 1728 divisors, whose sum is σ = 476918507520. Its totient is φ = 23514624000.

The previous prime is 106305695981. The next prime is 106305696001. The reversal of 106305696000 is 696503601.

106305696000 is a `hidden beast` number, since 1 + 0 + 6 + 30 + 569 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×106305696000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106305696001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3429215985 + ... + 3429216015.

Almost surely, 2^106305696000 is an apocalyptic number.

106305696000 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 106305696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238459253760).

106305696000 is an abundant number, since it is smaller than the sum of its proper divisors (370612811520).

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

106305696000 is an frugal number, since it uses more digits than its factorization.

106305696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 106305696000 in words is "one hundred six billion, three hundred five million, six hundred ninety-six thousand".