106393595904000 has 2304 divisors, whose sum is σ = 412899622705440. Its totient is φ = 27346835865600.

The previous prime is 106393595903971. The next prime is 106393595904073. The reversal of 106393595904000 is 409595393601.

106393595904000 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 9 + 3 + 5 + 9 + 590 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×106393595904000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 994332671947 + ... + 994332672053.

Almost surely, 2^{106393595904000} is an apocalyptic number.

106393595904000 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 106393595904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206449811352720).

106393595904000 is an abundant number, since it is smaller than the sum of its proper divisors (306506026801440).

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

106393595904000 is an frugal number, since it uses more digits than its factorization.

106393595904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 106393595904000 in words is "one hundred six trillion, three hundred ninety-three billion, five hundred ninety-five million, nine hundred four thousand".