106831807948800 has 1728 divisors, whose sum is σ = 434358391783680. Its totient is φ = 24866390016000.

The previous prime is 106831807948777. The next prime is 106831807948909. The reversal of 106831807948800 is 8849708138601.

106831807948800 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 3 + 1 + 80 + 79 + 488 + 0 + 0 = 666.

It is a super-2 number, since 2×106831807948800² (a number of 29 digits) contains 22 as substring.

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, 12626376570 + ... + 12626385030.

It is an arithmetic number, because the mean of its divisors is an integer number (251364810060).

Almost surely, 2^{106831807948800} is an apocalyptic number.

106831807948800 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 106831807948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217179195891840).

106831807948800 is an abundant number, since it is smaller than the sum of its proper divisors (327526583834880).

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

106831807948800 is a wasteful number, since it uses less digits than its factorization.

106831807948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8610 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 106831807948800 in words is "one hundred six trillion, eight hundred thirty-one billion, eight hundred seven million, nine hundred forty-eight thousand, eight hundred".