105996054528 has 624 divisors, whose sum is σ = 396900474880. Its totient is φ = 26467762176.

The previous prime is 105996054419. The next prime is 105996054569. The reversal of 105996054528 is 825450699501.

105996054528 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 9 + 60 + 54 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×105996054528² (a number of 23 digits) contains 22 as substring.

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, 63737025 + ... + 63738687.

Almost surely, 2^105996054528 is an apocalyptic number.

105996054528 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 105996054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198450237440).

105996054528 is an abundant number, since it is smaller than the sum of its proper divisors (290904420352).

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

105996054528 is a wasteful number, since it uses less digits than its factorization.

105996054528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 105996054528 in words is "one hundred five billion, nine hundred ninety-six million, fifty-four thousand, five hundred twenty-eight".