106528455000 has 960 divisors, whose sum is σ = 419091472800. Its totient is φ = 24192000000.

The previous prime is 106528454993. The next prime is 106528455043. The reversal of 106528455000 is 554825601.

106528455000 is a `hidden beast` number, since 10 + 65 + 2 + 84 + 5 + 500 + 0 = 666.

It is a super-2 number, since 2×106528455000² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 588554910 + ... + 588555090.

Almost surely, 2^106528455000 is an apocalyptic number.

106528455000 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 106528455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209545736400).

106528455000 is an abundant number, since it is smaller than the sum of its proper divisors (312563017800).

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

106528455000 is a wasteful number, since it uses less digits than its factorization.

106528455000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 106528455000 in words is "one hundred six billion, five hundred twenty-eight million, four hundred fifty-five thousand".