106854800000 has 192 divisors, whose sum is σ = 286557831000. Its totient is φ = 39452160000.

The previous prime is 106854799999. The next prime is 106854800021. The reversal of 106854800000 is 8458601.

It can be written as a sum of positive squares in 12 ways, for example, as 36060490816 + 70794309184 = 189896^2 + 266072^2 .

It is a super-2 number, since 2×106854800000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 106854800000.

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, 5189726 + ... + 5210274.

Almost surely, 2^106854800000 is an apocalyptic number.

106854800000 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 106854800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143278915500).

106854800000 is an abundant number, since it is smaller than the sum of its proper divisors (179703031000).

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

106854800000 is an frugal number, since it uses more digits than its factorization.

106854800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20601 (or 20569 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 106854800000 in words is "one hundred six billion, eight hundred fifty-four million, eight hundred thousand".