106605576000 has 2016 divisors, whose sum is σ = 503136676224. Its totient is φ = 21288960000.

The previous prime is 106605575987. The next prime is 106605576037. The reversal of 106605576000 is 675506601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×106605576000² (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 287 ways as a sum of consecutive naturals, for example, 1591127967 + ... + 1591128033.

It is an arithmetic number, because the mean of its divisors is an integer number (249571764).

Almost surely, 2^106605576000 is an apocalyptic number.

106605576000 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 106605576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251568338112).

106605576000 is an abundant number, since it is smaller than the sum of its proper divisors (396531100224).

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

106605576000 is a wasteful number, since it uses less digits than its factorization.

106605576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 106605576000 in words is "one hundred six billion, six hundred five million, five hundred seventy-six thousand".