105528755182032 has 240 divisors, whose sum is σ = 363518402083200. Its totient is φ = 27829426756608.

The previous prime is 105528755182013. The next prime is 105528755182087. The reversal of 105528755182032 is 230281557825501.

105528755182032 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 8 + 7 + 551 + 82 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×105528755182032² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105528755182032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158869063 + ... + 159531929.

It is an arithmetic number, because the mean of its divisors is an integer number (1514660008680).

Almost surely, 2^{105528755182032} is an apocalyptic number.

105528755182032 is a gapful number since it is divisible by the number (12) 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 105528755182032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181759201041600).

105528755182032 is an abundant number, since it is smaller than the sum of its proper divisors (257989646901168).

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

105528755182032 is a wasteful number, since it uses less digits than its factorization.

105528755182032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675050 (or 675041 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 105528755182032 in words is "one hundred five trillion, five hundred twenty-eight billion, seven hundred fifty-five million, one hundred eighty-two thousand, thirty-two".