106555680000 has 1620 divisors, whose sum is σ = 494579109024. Its totient is φ = 21427200000.

The previous prime is 106555679983. The next prime is 106555680013. The reversal of 106555680000 is 86555601.

It is a super-2 number, since 2×106555680000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3437279985 + ... + 3437280015.

Almost surely, 2^106555680000 is an apocalyptic number.

106555680000 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 106555680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247289554512).

106555680000 is an abundant number, since it is smaller than the sum of its proper divisors (388023429024).

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

106555680000 is an equidigital number, since it uses as much as digits as its factorization.

106555680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 106555680000 in words is "one hundred six billion, five hundred fifty-five million, six hundred eighty thousand".