106800576800 has 144 divisors (see below), whose sum is σ = 264952182600. Its totient is φ = 42030858240.

The previous prime is 106800576737. The next prime is 106800576811. The reversal of 106800576800 is 8675008601.

It can be written as a sum of positive squares in 12 ways, for example, as 1406850064 + 105393726736 = 37508^2 + 324644^2 .

It is a super-2 number, since 2×106800576800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26219564 + ... + 26223636.

Almost surely, 2^106800576800 is an apocalyptic number.

106800576800 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 106800576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132476091300).

106800576800 is an abundant number, since it is smaller than the sum of its proper divisors (158151605800).

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

106800576800 is a wasteful number, since it uses less digits than its factorization.

106800576800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 106800576800 in words is "one hundred six billion, eight hundred million, five hundred seventy-six thousand, eight hundred".