105015000528 has 120 divisors (see below), whose sum is σ = 305444700288. Its totient is φ = 34928796672.

The previous prime is 105015000527. The next prime is 105015000551. The reversal of 105015000528 is 825000510501.

105015000528 is a `hidden beast` number, since 105 + 0 + 1 + 500 + 0 + 52 + 8 = 666.

It is a super-2 number, since 2×105015000528² (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 not an unprimeable number, because it can be changed into a prime (105015000527) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1770976 + ... + 1829312.

Almost surely, 2^105015000528 is an apocalyptic number.

105015000528 is a gapful number since it is divisible by the number (18) 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 105015000528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152722350144).

105015000528 is an abundant number, since it is smaller than the sum of its proper divisors (200429699760).

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

105015000528 is an equidigital number, since it uses as much as digits as its factorization.

105015000528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58823 (or 58805 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 105015000528 in words is "one hundred five billion, fifteen million, five hundred twenty-eight", and thus it is an aban number.