106493009668800 has 672 divisors, whose sum is σ = 383696870400000. Its totient is φ = 25738416291840.

The previous prime is 106493009668789. The next prime is 106493009668847. The reversal of 106493009668800 is 8866900394601.

It is a super-2 number, since 2×106493009668800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 906272451 + ... + 906389949.

Almost surely, 2^{106493009668800} is an apocalyptic number.

106493009668800 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 106493009668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191848435200000).

106493009668800 is an abundant number, since it is smaller than the sum of its proper divisors (277203860731200).

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

106493009668800 is a wasteful number, since it uses less digits than its factorization.

106493009668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117953 (or 117938 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 106493009668800 in words is "one hundred six trillion, four hundred ninety-three billion, nine million, six hundred sixty-eight thousand, eight hundred".