105025532416 has 160 divisors (see below), whose sum is σ = 242196248448. Its totient is φ = 44568576000.

The previous prime is 105025532413. The next prime is 105025532429. The reversal of 105025532416 is 614235520501.

It is a super-2 number, since 2×105025532416² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105025532413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281569606 + ... + 281569978.

Almost surely, 2^105025532416 is an apocalyptic number.

105025532416 is a gapful number since it is divisible by the number (16) 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 105025532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121098124224).

105025532416 is an abundant number, since it is smaller than the sum of its proper divisors (137170716032).

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

105025532416 is an equidigital number, since it uses as much as digits as its factorization.

105025532416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 105025532416 in words is "one hundred five billion, twenty-five million, five hundred thirty-two thousand, four hundred sixteen".