106551130608000 has 768 divisors, whose sum is σ = 416335521551040. Its totient is φ = 25957534924800.

The previous prime is 106551130607981. The next prime is 106551130608031. The reversal of 106551130608000 is 806031155601.

106551130608000 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 5 + 11 + 30 + 608 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×106551130608000² (a number of 29 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 95 ways as a sum of consecutive naturals, for example, 181290607 + ... + 181877393.

Almost surely, 2^{106551130608000} is an apocalyptic number.

106551130608000 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 106551130608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208167760775520).

106551130608000 is an abundant number, since it is smaller than the sum of its proper divisors (309784390943040).

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

106551130608000 is a wasteful number, since it uses less digits than its factorization.

106551130608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586932 (or 586907 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 106551130608000 in words is "one hundred six trillion, five hundred fifty-one billion, one hundred thirty million, six hundred eight thousand".