106576020000 has 480 divisors, whose sum is σ = 405369740160. Its totient is φ = 27181440000.

The previous prime is 106576019989. The next prime is 106576020013. The reversal of 106576020000 is 20675601.

106576020000 is a `hidden beast` number, since 1 + 0 + 6 + 57 + 602 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×106576020000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12415710 + ... + 12424290.

It is an arithmetic number, because the mean of its divisors is an integer number (844520292).

Almost surely, 2^106576020000 is an apocalyptic number.

106576020000 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 106576020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202684870080).

106576020000 is an abundant number, since it is smaller than the sum of its proper divisors (298793720160).

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

106576020000 is an equidigital number, since it uses as much as digits as its factorization.

106576020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8643 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 106576020000 its reverse (20675601), we get a palindrome (106596695601).

The spelling of 106576020000 in words is "one hundred six billion, five hundred seventy-six million, twenty thousand".