105053532584 has 96 divisors (see below), whose sum is σ = 265923829440. Its totient is φ = 37781452800.

The previous prime is 105053532559. The next prime is 105053532589. The reversal of 105053532584 is 485235350501.

It is a happy number.

It is a super-2 number, since 2×105053532584² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105053532589) 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, 400457 + ... + 608664.

It is an arithmetic number, because the mean of its divisors is an integer number (2770039890).

Almost surely, 2^105053532584 is an apocalyptic number.

105053532584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105053532584 is an abundant number, since it is smaller than the sum of its proper divisors (160870296856).

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

105053532584 is a wasteful number, since it uses less digits than its factorization.

105053532584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009171 (or 1009154 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 105053532584 in words is "one hundred five billion, fifty-three million, five hundred thirty-two thousand, five hundred eighty-four".