106230528000 has 960 divisors, whose sum is σ = 408129321600. Its totient is φ = 27471052800.

The previous prime is 106230527989. The next prime is 106230528031. The reversal of 106230528000 is 825032601.

106230528000 is a `hidden beast` number, since 10 + 623 + 0 + 5 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×106230528000² (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 a congruent number.

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, 974591946 + ... + 974592054.

It is an arithmetic number, because the mean of its divisors is an integer number (425134710).

Almost surely, 2^106230528000 is an apocalyptic number.

106230528000 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 106230528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204064660800).

106230528000 is an abundant number, since it is smaller than the sum of its proper divisors (301898793600).

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

106230528000 is an equidigital number, since it uses as much as digits as its factorization.

106230528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 106230528000 in words is "one hundred six billion, two hundred thirty million, five hundred twenty-eight thousand".